my code wont display figure
% Parameters
L = 1; % Length of the string
c = 1; % Wave speed
num_segments = 200; % Number of segments
dx = L / num_segments; % Discretization step
dt = 0.005; % Time step
num_steps = 10 / dt; % Number of time steps
% Initial wave parameters
left_wave_length = 0.15 * L;
right_wave_length = 0.25 * L;
% Initialize the wave function
x = 0:dx:L;
u = sin(pi * x / left_wave_length) + sin(2 * pi * x / right_wave_length);
% Time integration
for step = 1:num_steps
% Compute second spatial derivative using finite differences
u_xx = (u(1:end-2) – 2*u(2:end-1) + u(3:end)) / dx^2;
% Update the wave equation using finite differences
u_new = 2*u(2:end-1) – u(2:end-1) + c^2 * dt^2 * u_xx;
% Update boundary conditions
u_new1 = [0, u_new, 0];
% Update the wave function
u = u_new1;
end
% Plot at t = 0
figure;
plot(x, u);
title(‘Wave Equation at t = 0’);
xlabel(‘Position [L]’);
ylabel(‘Amplitude’);
xlim([0, L]);
% Plot at t = 10 [t]
figure;
plot(x, u);
title(‘Wave Equation at t = 10 [t]’);
xlabel(‘Position [L]’);
ylabel(‘Amplitude’);
xlim([0, L]);% Parameters
L = 1; % Length of the string
c = 1; % Wave speed
num_segments = 200; % Number of segments
dx = L / num_segments; % Discretization step
dt = 0.005; % Time step
num_steps = 10 / dt; % Number of time steps
% Initial wave parameters
left_wave_length = 0.15 * L;
right_wave_length = 0.25 * L;
% Initialize the wave function
x = 0:dx:L;
u = sin(pi * x / left_wave_length) + sin(2 * pi * x / right_wave_length);
% Time integration
for step = 1:num_steps
% Compute second spatial derivative using finite differences
u_xx = (u(1:end-2) – 2*u(2:end-1) + u(3:end)) / dx^2;
% Update the wave equation using finite differences
u_new = 2*u(2:end-1) – u(2:end-1) + c^2 * dt^2 * u_xx;
% Update boundary conditions
u_new1 = [0, u_new, 0];
% Update the wave function
u = u_new1;
end
% Plot at t = 0
figure;
plot(x, u);
title(‘Wave Equation at t = 0’);
xlabel(‘Position [L]’);
ylabel(‘Amplitude’);
xlim([0, L]);
% Plot at t = 10 [t]
figure;
plot(x, u);
title(‘Wave Equation at t = 10 [t]’);
xlabel(‘Position [L]’);
ylabel(‘Amplitude’);
xlim([0, L]); % Parameters
L = 1; % Length of the string
c = 1; % Wave speed
num_segments = 200; % Number of segments
dx = L / num_segments; % Discretization step
dt = 0.005; % Time step
num_steps = 10 / dt; % Number of time steps
% Initial wave parameters
left_wave_length = 0.15 * L;
right_wave_length = 0.25 * L;
% Initialize the wave function
x = 0:dx:L;
u = sin(pi * x / left_wave_length) + sin(2 * pi * x / right_wave_length);
% Time integration
for step = 1:num_steps
% Compute second spatial derivative using finite differences
u_xx = (u(1:end-2) – 2*u(2:end-1) + u(3:end)) / dx^2;
% Update the wave equation using finite differences
u_new = 2*u(2:end-1) – u(2:end-1) + c^2 * dt^2 * u_xx;
% Update boundary conditions
u_new1 = [0, u_new, 0];
% Update the wave function
u = u_new1;
end
% Plot at t = 0
figure;
plot(x, u);
title(‘Wave Equation at t = 0’);
xlabel(‘Position [L]’);
ylabel(‘Amplitude’);
xlim([0, L]);
% Plot at t = 10 [t]
figure;
plot(x, u);
title(‘Wave Equation at t = 10 [t]’);
xlabel(‘Position [L]’);
ylabel(‘Amplitude’);
xlim([0, L]); matlab MATLAB Answers — New Questions
