Use the following methods with step size h= 1/4 to estirmate y(2), where y(t) is the solution of the initial-value problem =, (0) 1. Find the absolute error in each case relative to the analytic...

12Use the following methods with step size h= 1/4 to estirmate y(2), where y(t) is the solution of the initial-value problem<br>=, (0) 1.<br>Find the absolute error in each case relative to the analytic solution y(t) e<br>a) Euler method<br>Result:<br>Error:<br>b) Implick Euler method<br>Result:<br>Error:<br>c) Crank-Nicolson method<br>Result:<br>Error:<br>d) RK2 (Heun's method)<br>Result:<br>Error:<br>e) RK4 (Classical 4th-Order Runge-Kutta method)<br>Result:<br>Error:<br>

Extracted text: Use the following methods with step size h= 1/4 to estirmate y(2), where y(t) is the solution of the initial-value problem =, (0) 1. Find the absolute error in each case relative to the analytic solution y(t) e a) Euler method Result: Error: b) Implick Euler method Result: Error: c) Crank-Nicolson method Result: Error: d) RK2 (Heun's method) Result: Error: e) RK4 (Classical 4th-Order Runge-Kutta method) Result: Error:

Jun 04, 2022
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