Heun's method for Euler's solution

This code solves y'(t)=-2*y(t)+t with y(0)=1 using Euler method
% Initial Condition
y0 = 1;
h = 0.2;
% t goes from 0 to 3 seconds.
t = 0:h:3;
% Preallocate array (good coding practice)
y_euler = zeros(size(t));
% Initial condition gives solution at t=0.
y_euler(1) = y0;
% Solving the equation via Euler's method
for i=1:(length(t)-1)
k1 = -2*y_euler(i)+t(i); % Previous approx for y gives approx for derivative
y_euler(i+1) = y_euler(i) + h*k1; % Approximate solution for next value of y
end

Réponses (0)

Catégories

En savoir plus sur Programming dans Centre d'aide et File Exchange

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by