I need help with composite_trapezoidal_rule and Composite Simpson”s Rule
Write a program to evaluate 𝐼𝑛 = ∫01𝑒^(−2𝑥)𝑑x with 𝑛 = 16, 128 𝑎n𝑑 512 subdivisions using:
Composite trapozidal rule
. ii) Compsosite Simpson’s rule. Compare the results of part i) and ii)
Derive a theoretical bound for the number of subdivisions 𝑛𝑛 to approximate the integral in part (a) with an accuracy of 10^8 using the composite Simpson’s rule. Verify this bound numerically.Write a program to evaluate 𝐼𝑛 = ∫01𝑒^(−2𝑥)𝑑x with 𝑛 = 16, 128 𝑎n𝑑 512 subdivisions using:
Composite trapozidal rule
. ii) Compsosite Simpson’s rule. Compare the results of part i) and ii)
Derive a theoretical bound for the number of subdivisions 𝑛𝑛 to approximate the integral in part (a) with an accuracy of 10^8 using the composite Simpson’s rule. Verify this bound numerically. Write a program to evaluate 𝐼𝑛 = ∫01𝑒^(−2𝑥)𝑑x with 𝑛 = 16, 128 𝑎n𝑑 512 subdivisions using:
Composite trapozidal rule
. ii) Compsosite Simpson’s rule. Compare the results of part i) and ii)
Derive a theoretical bound for the number of subdivisions 𝑛𝑛 to approximate the integral in part (a) with an accuracy of 10^8 using the composite Simpson’s rule. Verify this bound numerically. matlab code, simpson”s rule MATLAB Answers — New Questions