September 2024 | Application Package Repository Telkom University

Month: September 2024

[SPSE] new-SPServiceApplicationPool does not create IIS Application Pool

/ 2024-09-26

Hello,

I am running SPSE with 24-08 CU on a 2022 Windows server. Different scripted installations of service application fails at New-SPServiceApplicationPool. There is no error but the IIS application pool is not created even after waiting one night. I guess that the iis app pool is created by a timer job as it should be provisionned on all servers in the farm. In this case it is a single server farm.

But when using the central admin to create a new service application with a new application pool, the iis app pool is created but the specified name is replace by a GUID is IIS.

Is there a bug in the NEW-SPServiceApplicationPool commandlet ?

Is there a way to attach an IIS App Pool to a SP Service Pool ? I can’t find the GUID of the IIS AppPool

Thanks for any suggestion to create a SP Service Pool with PowerShell

Jean Marie

Hello,I am running SPSE with 24-08 CU on a 2022 Windows server. Different scripted installations of service application fails at New-SPServiceApplicationPool. There is no error but the IIS application pool is not created even after waiting one night. I guess that the iis app pool is created by a timer job as it should be provisionned on all servers in the farm. In this case it is a single server farm. But when using the central admin to create a new service application with a new application pool, the iis app pool is created but the specified name is replace by a GUID is IIS. Is there a bug in the NEW-SPServiceApplicationPool commandlet ?Is there a way to attach an IIS App Pool to a SP Service Pool ? I can’t find the GUID of the IIS AppPool Thanks for any suggestion to create a SP Service Pool with PowerShellJean Marie Read More

Microsoft

Only allow certain emails to edit list items based off of a dropdown option

/ 2024-09-26

Hi, I have a column that will allow you to select a dropdown of A, B or C – depending on what is selected I only want email accounts ending in A.com, B.com or C.com to edit accordingly – any help is appreciated!

Microsoft

How to bulk convert GIF to JPG in High Quality on Windows 11 Computer?

/ 2024-09-26

Hi everyone,

I’m looking for a reliable method to bulk convert GIF images to JPG format on my Windows PC without losing quality. I have a large collection of GIFs that I need to convert for better compatibility and performance in various applications.

If anyone has experience with this, could you recommend a way that can bulk convert GIF to JPG in high quality ? Ideally, I would like a solution that allows me to maintain the highest possible quality during the conversion process. Any tips or steps would be greatly appreciated!

Much appreciated for your input!

Hi everyone, I’m looking for a reliable method to bulk convert GIF images to JPG format on my Windows PC without losing quality. I have a large collection of GIFs that I need to convert for better compatibility and performance in various applications. If anyone has experience with this, could you recommend a way that can bulk convert GIF to JPG in high quality ? Ideally, I would like a solution that allows me to maintain the highest possible quality during the conversion process. Any tips or steps would be greatly appreciated! Much appreciated for your input! Read More

Microsoft

Emailing a Channel // Throttling Limits

/ 2024-09-26

Hi everyone,

I was reading the documentation on Emailing a channel and corresponding throttling limits (Limits and specifications for Microsoft Teams – Microsoft Teams | Microsoft Learn). I’m not sure if I fully understand the ‘per user’ part of the following:

‘The limit is six emails per ten seconds per channel per user and eight emails per ten seconds per tenant per user.’

What does ‘per user’ in this context even mean?
Looking at just the second part of the statement above – does it basically state that only 8 emails to channels can be sent within 10 seconds over the whole tenant? If yes, then I’m asking myself why the ‘per user’ part is even included in the statement above…

Would be great if somebody could enlighten me 🙂

Regards
Andreas

Hi everyone,I was reading the documentation on Emailing a channel and corresponding throttling limits (Limits and specifications for Microsoft Teams – Microsoft Teams | Microsoft Learn). I’m not sure if I fully understand the ‘per user’ part of the following:’The limit is six emails per ten seconds per channel per user and eight emails per ten seconds per tenant per user.’What does ‘per user’ in this context even mean?Looking at just the second part of the statement above – does it basically state that only 8 emails to channels can be sent within 10 seconds over the whole tenant? If yes, then I’m asking myself why the ‘per user’ part is even included in the statement above…Would be great if somebody could enlighten me 🙂RegardsAndreas Read More

Microsoft

Windows 11 Experiencing Brief Hanging or Lagging Episodes Multiple Times per Minute

/ 2024-09-26

I tried updating the RTX driver to the latest version after the problem started, but it did not resolve the issue. I have also ensured that all available Windows updates are installed, including the most recent one: the 2023-11 Cumulative Update Preview for Windows 11 Version 22H2 for x64-based Systems (KB5032288). My RTX GPU driver is on version R545 U2 (studio drivers).

I would greatly appreciate any assistance or advice. Should I try unplugging and reconnecting my USB inputs as a troubleshooting step?

Thank you,

Will

Over the past two weeks, my computer has been experiencing frequent 0.25-second freezes, causing disruptions such as Spotify skipping, mouse freezing, and other processes coming to a halt before resuming normally. This issue may have been triggered by a series of driver updates I installed through third-party software, a practice I now know to be risky. I tried updating the RTX driver to the latest version after the problem started, but it did not resolve the issue. I have also ensured that all available Windows updates are installed, including the most recent one: the 2023-11 Cumulative Update Preview for Windows 11 Version 22H2 for x64-based Systems (KB5032288). My RTX GPU driver is on version R545 U2 (studio drivers). I would greatly appreciate any assistance or advice. Should I try unplugging and reconnecting my USB inputs as a troubleshooting step? Thank you,Will Read More

Microsoft

AVD Logins get stuck in loop

/ 2024-09-26

It occurs on a per user basis (others can login to the same VM’s perfectly fine) and it seems to be related to Entra MFA (we have a conditional access policy to enforce MFA for users when not on Corp. network). We use EntraID joined AVD Session Hosts (not attached to Corp. network) and the remote user end-points are hybrid Domain joined (can be connected to Corp. network, offsite direct to Internet, or offsite with FortiClient VPN to Corp.network).

This issue does not seem to affect users who wholly work offsite (and always hit the conditional access policy for MFA?). But, it does affect our users who access the AVD System from both onsite and offsite.

It happened to me yesterday when I was onsite (so I was not being prompted for MFA), so I disconnected from the Corp. network and connected via my Mobile Phone Hotspot (to force MFA prompt) – and the login ran through fine, and when I then connected back to the Corp network, I could login fine.

What confuses me, is that being onsite on the Corp. network should not require an MFA, so why does disconnecting from the Corp. network and forcing the MFA prompt fix the issue – MFA should not come into things when accessing from onsite, surely?

One thing comes to mind – that MFA uses a 90 day token so you don’t get prompted all the time, I wonder if this token has expired (and hence is not renewed as you are logging in from onsite with no requirement for MFA), and that this expired MFA token is preventing the login until it is forcibly renewed by performing and MFA login?

It also seems to be specific to a session host – whilst I get the login loop trying to login to one AVD Host Pool/Session Host, I can login perfectly fine to others. So, does the Session Host cache the MFA token that has perhaps expired?

I think I may have seen situations with users, where this login loop occurs and if you then just leave it and then try and re-connect a few hours later, you can then login again fine (so maybe it is to do with AD / Entra Connect Sync delays)?

Any ideas or suggestions why this is happening and how to fix it would be greatly appreciated – as trying to run an Enterprise AVD System that every now and then users cannot get into is far from ideal!

Regards

Gary

We have been suffering intermittent AVD Auth/Login issues to multiple Host Pools for multiple users – the login gets stuck and just loops continually between the Authentication “Just a moment” screen, and then initiating/configuring/securing remote connection dialog box. It occurs on a per user basis (others can login to the same VM’s perfectly fine) and it seems to be related to Entra MFA (we have a conditional access policy to enforce MFA for users when not on Corp. network). We use EntraID joined AVD Session Hosts (not attached to Corp. network) and the remote user end-points are hybrid Domain joined (can be connected to Corp. network, offsite direct to Internet, or offsite with FortiClient VPN to Corp.network). This issue does not seem to affect users who wholly work offsite (and always hit the conditional access policy for MFA?). But, it does affect our users who access the AVD System from both onsite and offsite. It happened to me yesterday when I was onsite (so I was not being prompted for MFA), so I disconnected from the Corp. network and connected via my Mobile Phone Hotspot (to force MFA prompt) – and the login ran through fine, and when I then connected back to the Corp network, I could login fine. What confuses me, is that being onsite on the Corp. network should not require an MFA, so why does disconnecting from the Corp. network and forcing the MFA prompt fix the issue – MFA should not come into things when accessing from onsite, surely? One thing comes to mind – that MFA uses a 90 day token so you don’t get prompted all the time, I wonder if this token has expired (and hence is not renewed as you are logging in from onsite with no requirement for MFA), and that this expired MFA token is preventing the login until it is forcibly renewed by performing and MFA login? It also seems to be specific to a session host – whilst I get the login loop trying to login to one AVD Host Pool/Session Host, I can login perfectly fine to others. So, does the Session Host cache the MFA token that has perhaps expired? I think I may have seen situations with users, where this login loop occurs and if you then just leave it and then try and re-connect a few hours later, you can then login again fine (so maybe it is to do with AD / Entra Connect Sync delays)? Any ideas or suggestions why this is happening and how to fix it would be greatly appreciated – as trying to run an Enterprise AVD System that every now and then users cannot get into is far from ideal! Regards Gary Read More

Microsoft

What’s new in FinOps toolkit 0.5 – August 2024

/ 2024-09-26

Whether you consider yourself a FinOps practitioner, someone who’s enthusiastic about driving cloud efficiency and maximizing the value you get from the cloud, or were just asked to look at ways to reduce cost, the FinOps toolkit has something for you. In August, we added support for Power BI reports on top of Cost Management exports without needing to deploy FinOps hubs; expanded optimization options in workbooks; improved optimization, security, and resiliency in Azure Optimization Engine; a new FOCUS article to help compare with actual/amortized data; and many smaller fixes and improvements across the board.

And if you missed our update last month, check out the July update, too!

New to FinOps toolkit?

In case you haven’t heard, the FinOps toolkit is an open-source collection of tools and resources that help you learn, adopt, and implement FinOps in the Microsoft Cloud. The foundation of the toolkit is the Implementing FinOps guide that helps you get started with FinOps whether you’re using native tools in the Azure portal, looking for ways to automate and extend those tools, or if you’re looking to build your own FinOps tools and reports. To learn more about the toolkit, how to provide feedback, or how to contribute, see the FinOps toolkit site.

Comparing FOCUS and actual/amortized data

As people move from the actual and amortized cost datasets to the FinOps Open Cost and Usage Specification (FOCUS), we often get questions about how one column maps to another. We offer scenario-based documentation to help you update existing reports to use FOCUS and also how to convert actual/amortized data to FOCUS, but everyone once in a while we get a question about how to compare a specific number in FOCUS to the actual or amortized cost datasets. To facilitate this, we’ve introduced a new article to help you compare FOCUS data to either actual or amortized cost data you might be seeing in the Azure portal or other tools.

The document offers one table for comparing with actual cost data and another for comparing with amortized cost data. Most columns are the same, except when it gets into the differences between purchases and refunds vs. effective costs after commitment discount purchases have been amortized.

To learn more, check out the full article, Validate FOCUS data.

Screenshot of the article that helps compare FOCUS cost data with actual and amortized cost data

What’s new in Power BI

One of the initial goals of the FinOps toolkit was to offer a scalable solution for cost reporting. This is partially why FinOps hubs were created. Of course, FinOps hubs have a broad vision that goes beyond cost reporting, which not everyone needs. For that reason, we’ve continued to include Power BI reports that work with the Cost Management connector. But the connector is currently in maintenance support only and is no longer receiving updates due to intrinsic limitations in how the connector worked. Going forward, the new recommendation for reporting on costs in Power BI is to export data to a storage account and leverage the Azure Data Lake Storage Gen2 connector. And with the ability to overwrite old month-to-date reports, Cost Management exports now provide everything you need to report on costs directly on top of raw, Cost Management exports. With that, one of the man features we included in the FinOps toolkit 0.5 release was support for Power BI reports connected to raw exports in storage without the need to use FinOps hubs.

While there are still a few reasons to use FinOps hubs, like managed exports, multi-tenant support, and a rich roadmap covering many FinOps capabilities, most organizations will find connecting Power BI reports directly to exported datasets in storage to be the simplest option for getting up and running in Power BI.

To connect Power BI reports to storage, simply copy the Data Lake storage endpoint from the Azure portal and paste it into the “Exports storage URL” parameter in Power BI. Add the target container and folder path to streamline data refreshes and close and apply changes.

Please note that uncompressed exports have additional size limitations that may cause timeouts or errors during data refresh. We recommend using compressed parquet exports when available for the best performance.

If you’re familiar with FinOps hubs, you may notice there are 2 storage parameters: one for hubs and one for exports. The intent of this is to support FinOps hubs for cost details and exports for other datasets, which aren’t supported by FinOps hubs yet. You can use both as needed. Simply set the hubs storage URL to the ingestion container and point the exports storage URL to container where your other exports are published. The only important point to remember is that raw exports MUST overwrite previous exports to ensure data is not duplicated. If you notice more cost and usage than expected, confirm the “Overwrite data” setting is on in export properties and enable it, if it isn’t.

With the additional support of raw exports covering all Cost Management datasets – namely reservation recommendations, which are included in the Rate optimization report – we’ve removed the Cost Management connector for Power BI. In order to see reservation recommendations, you will need to create an export and set the appropriate export storage URL in Power BI.

Beyond support for raw exports in Power BI, the following other updates were also made to the Power BI reports:

List cost and contracted cost numbers were updated to facilitate partial (not complete) cost savings calculations. It’s important to note this is not a complete cost savings. With support for the pricesheet dataset, we will include a full backfill of missing price/cost data in a future release.
Minor updates to the Cost summary DQ page to identify rows where a unique ID cannot be identifies and rows where the billing and pricing currencies are different.
Merged shared and single reservation recommendations pages into a consolidated Reservation recommendations page in the Rate optimization report. Note this requires reservation recommendations to be exported from Cost Management to see data.
Fixed a bug where Cost Management exports showed committed usage as “Standard” pricing category, which can cause previous reports to be miscategorized. To fix the underlying data, please re-export any FOCUS 1.0 datasets that were exported before August 1, 2024.

Let us know what you’d like to see next. Power BI reports are one of the most used tools in the FinOps toolkit, but also one we hear the least about. We’d love to know what we can do to streamline your reporting, deployment, and overall management of not only Power BI reports, but related FinOps solutions.

What’s new in FinOps workbooks

Every month we look for ways to improve the FinOps workbooks to make it easier for you to optimize and govern your cloud environment. In August, we added new queries and made usability improvements across both workbooks.

In the Optimization workbook:

New: Identify VMs by processor architecture type.
New: Find SQL elastic pool instances with no databases.
New: Detect premium disks for VMs that aren’t running.
New: Export
Updated: Identify reservation break-event point.
Updated: Azure Hybrid Benefit core count for Virtual Machine Scale Sets was corrected.
Updated: The idle disks query now ignores disks used by AKS pods.
Updated: Excluded block blob storage accounts from the list of v1 storage accounts.
Updated: Removed the management group filter to simplify subscription filtering.

In the Governance workbook:

Updated: Removed the management group filter to simplify subscription filtering.

We evaluate changes to our workbooks every month. Let us know what you’d like to see next!

What’s new in Azure Optimization Engine

In August, we improved recommendations, security, and flexibility in Azure Optimization Engine (AOE).

First, we improved underutilized premium disk recommendations to offer more accurate and actionable insights by updating the meter name, which changed in cost data, and including support for ZRS disks, which offer improved performance and reliability. This change will help you balance resiliency and maximize the value you get out of your cloud solutions.

Next up, given how critical security is for any cloud solution, we’ve updated the default security settings to enable Microsoft Entra ID authentication only for the SQL database. This update removes passwords from the initial deployment, making it easier and more secure.

Lastly, we also expanded support for adding additional Entra ID tenants (or directories), added an option to ingest Microsoft Customer Agreement (MCA) billing profiles, and resolved a bug related to MCA subscription cost data. To configure additional tenants, use the new Register-MultitenantAutomationSchedules PowerShell script.

We hope these improvements will help you maximize efficiency, security, and resiliency in your cloud solutions. We’re always looking for new opportunities like this, so please do let us know what you’d like to see next!

Other new and noteworthy updates

Many small improvements and bug fixes go into each release, so covering everything in detail can be a lot to take in. But I do want to call out a few other small things that you may be interested in.

In FinOps hubs:

Expanded the cost estimate documentation to call out Power BI pricing and include a link to the Pricing Calculator.
Various minor bug fixes and improvements.

In the FinOps toolkit PowerShell module:

Added more filtering options in Get-FinOpsCostExport.
Various minor bug fixes and improvements.

In open data:

16 new region values were added to map back to existing regions.
4 new pricing units were added and 1 was updated.
48 new resource types were added and 32 were updated.
20 new service mappings were added and 8 were updated.

To see more details, refer to the FinOps toolkit changelog.

What’s next

Here are a few of the things we’re looking at in the coming months:

Power BI reports will expand to more FinOps capabilities – specifically, you’ll see new Governance and Workload optimization reports coming soon.
FinOps hubs will add support for more datasets, private endpoints, and large datasets in Azure Data Explorer.
FinOps workbooks will continue to get recurring updates, expand to more FinOps capabilities, and add cost from FinOps hubs.
Azure Optimization Engine will continue to receive small updates as we plan out the next major release of the tool.
Each release, we’ll try to pick at least one of the highest voted issues (based on 👍 votes) to continue to evolve based on your feedback, so keep the feedback coming!

To learn more, check out the FinOps toolkit roadmap, and please let us know if there’s anything you’d like to see in a future release. Whether you’re using native products, automating and extending those products, or using custom solutions, we’re here to help make FinOps easier to adopt and implement.

Microsoft Tech Community – Latest Blogs –Read More

Microsoft

Validation formula for Sharepoint list with IF and AND condition

/ 2024-09-26

So far tried these formulas but it didn’t work as intended

=AND(IF(ISERROR(FIND(” “, [Title])),TRUE), IF([Created]=TODAY(),TRUE))

=IF(FIND(” “, [Title]),TRUE, IF([Created]=TODAY(),TRUE),FALSE)

=IF(AND(FIND(” “, [Title]), [Created]=TODAY()), TRUE, FALSE)

Can you please help

I am trying to create a validation formula using IF and AND. So if the Title column contains spaces between words and the Created date is equal to today then throw an error message. (so error only needs to show if both conditions are satisfied So far tried these formulas but it didn’t work as intended =AND(IF(ISERROR(FIND(” “, [Title])),TRUE), IF([Created]=TODAY(),TRUE)) =IF(FIND(” “, [Title]),TRUE, IF([Created]=TODAY(),TRUE),FALSE) =IF(AND(FIND(” “, [Title]), [Created]=TODAY()), TRUE, FALSE) Can you please help Read More

Matlab

Predictive maintenance – data required for generalizing the model

/ 2024-09-26

I have gone through the video for doing predictive maintenance. (https://www.mathworks.com/videos/predictive-maintenance-part-1-introduction-1545827554336.html). I understand that for doing predictive maintenance in that video, sensor input from 100 machines were used.
I would like to know to generalize a model to do predictive maintenace using user sensor data, data of how many machines I need to use to train/validate the model? How to find how many machine data required, so that model is generalized. Can you please supportI have gone through the video for doing predictive maintenance. (https://www.mathworks.com/videos/predictive-maintenance-part-1-introduction-1545827554336.html). I understand that for doing predictive maintenance in that video, sensor input from 100 machines were used.
I would like to know to generalize a model to do predictive maintenace using user sensor data, data of how many machines I need to use to train/validate the model? How to find how many machine data required, so that model is generalized. Can you please support I have gone through the video for doing predictive maintenance. (https://www.mathworks.com/videos/predictive-maintenance-part-1-introduction-1545827554336.html). I understand that for doing predictive maintenance in that video, sensor input from 100 machines were used.
I would like to know to generalize a model to do predictive maintenace using user sensor data, data of how many machines I need to use to train/validate the model? How to find how many machine data required, so that model is generalized. Can you please support predictive maintenace, sensor data, deep learning MATLAB Answers — New Questions

Matlab

How to achieved Matlab code for high precision, recall and F-measure values in ANN or PNN ?

/ 2024-09-26

In My Project whitefly and Thrip identification algorithm achieved high precision, recall and F-measure values. The Algorithm is ANN and PNN Both…

My Paper Title is " Combination of image processing and artificial neural networks as a novel approach for the identification of Bemisia tabaci and Frankliniella occidentalis on sticky traps in greenhouse agriculture "

I neead a MATLAB Code for given parameters… How to find this parameters values in both ANN and PNN via MATLAB CODE??In My Project whitefly and Thrip identification algorithm achieved high precision, recall and F-measure values. The Algorithm is ANN and PNN Both…

I neead a MATLAB Code for given parameters… How to find this parameters values in both ANN and PNN via MATLAB CODE?? In My Project whitefly and Thrip identification algorithm achieved high precision, recall and F-measure values. The Algorithm is ANN and PNN Both…

I neead a MATLAB Code for given parameters… How to find this parameters values in both ANN and PNN via MATLAB CODE?? classification, neural networks, image processing MATLAB Answers — New Questions

Matlab

How to solve the system of time dependent coupled PDE’s?

/ 2024-09-26

The system this paper (DOI: 10.1017/S0022112003003835) Thank you.
Fig10a(0.2,2050)
function Fig10a(delta, Reynolds)
% Main function to solve for F and G and plot G(1/4, t)

% Initialize variables
R = Reynolds;
dt = 1/10;
nmax = 82001;
dy = 1/100;
yTarget = 1/4;
gValues = [];

Delta = delta;
H = @(t) 1 + Delta * cos(2 * t);
dH = @(t) -2 * Delta * sin(2 * t);

% Create the grid and differentiation matrices
ygrid = 0:dy:1;
ny = length(ygrid);

% Finite difference differentiation matrices (for dy1 and dy2)
dy2 = fdcoeffFDM2(ny, dy); % Second-order finite difference matrix
dy1 = fdcoeffFDM1(ny, dy); % First-order finite difference matrix

% Initialize variables for F and G
fvar0 = zeros(ny, nmax);
gvar0 = zeros(ny, nmax);

% Time-stepping loop
for i = 1:nmax-1
% Update variables for F and G at the current time step
fvar = fvar0(:, i);
gvar = gvar0(:, i);

% Define the equations
eqf = dy2 * fvar + (dy1 * fvar)./ygrid’ – fvar./(ygrid’.^2) + …
gvar * H((i + 1) * dt)^2;
eqg = (gvar – gvar0(:, i)) / dt – …
dH((i + 1) * dt) / H((i + 1) * dt) * (dy1 * gvar)./ygrid’ – …
(dy1 * gvar) .* fvar / H((i + 1) * dt) + …
1/H((i + 1) * dt) * (dy1 * fvar) .* gvar + …
2./(ygrid’ * H((i + 1) * dt)) .* fvar .* gvar – …
(1/(R * H((i + 1) * dt)^2)) * (dy2 * gvar + dy1 * gvar./ygrid’ – gvar./(ygrid’.^2));

% Apply boundary conditions
eqf(1) = fvar(1); % F(0, t) = 0 at y = 0
eqf(end) = fvar(end) + dH((i + 1) * dt); % F(1, t) = -H'(t) at y = 1
eqg(1) = gvar(1); % G(0, t) = 0 at t = 0
eqg(end) = dy1(end, 🙂 * fvar – dH((i + 1) * dt); % F'(1, t) = H'(t) at y = 1

% Combine eqf and eqg into a single system
eqns = [eqf; eqg];

% Solve the system using backslash operator
sol = eqns; % Since we are already evaluating eqns as the result

% Check that the solution vector matches the expected size
if length(sol) ~= 2 * ny
error(‘The number of equations does not match the number of unknowns’);
end

% Update variables for the next step
fvar0(:, i+1) = sol(1:ny);
gvar0(:, i+1) = sol(ny+1:end);

% Interpolate G(y, t) and store G(1/4, t)
if i >= 81000 && i <= 82001
gInterp = interp1(ygrid, gvar0(:, i+1), yTarget);
gValues = [gValues; i, gInterp];
end

% Display debugging information every 1000 iterations
if mod(i, 1000) == 0 & i>=81000
disp([‘Iteration: ‘, num2str(i), ‘ | G(1/4, t): ‘, num2str(gInterp)]);
end
end

% Plot the values of G(1/4, t)
figure;
if isempty(gValues)
disp(‘No values of G(1/4, t) were recorded.’);
else
plot(gValues(:,1), gValues(:,2), ‘r-‘, ‘LineWidth’, 2);
grid on;
xlabel(‘t’);
ylabel(‘G(1/4, t)’);
title(‘G(1/4, t) from t = 8100 to t = 8200’);
end
end

% Auxiliary function for second-order finite difference matrix
function D2 = fdcoeffFDM2(ny, dy)
e = ones(ny, 1);
D2 = spdiags([e -2*e e], -1:1, ny, ny) / (dy^2);
D2(1, 🙂 = 0; D2(end, 🙂 = 0; % Apply boundary conditions
end

% Auxiliary function for first-order finite difference matrix
function D1 = fdcoeffFDM1(ny, dy)
e = ones(ny, 1);
D1 = spdiags([-e e], [-1 1], ny, ny) / (2*dy);
D1(1, 🙂 = 0; D1(end, 🙂 = 0; % Apply boundary conditions
endThe system this paper (DOI: 10.1017/S0022112003003835) Thank you.
Fig10a(0.2,2050)
function Fig10a(delta, Reynolds)
% Main function to solve for F and G and plot G(1/4, t)