1) Apply the Euler forward, Euler backward and Crack-Nicolson methods to the following non-linear ordinary differential equation and obtain the analytical and numerical solution
evaluated at t = h, where h is the step size.

2) Suppose now that h = 0.1 and λ = 0.1. Obtain the numerical solution using each of the above mentioned methods and compare it with analytics.

3) Graph 2) over the entire domain of interest.

Transcribed Image Text:

du dt =2u²; u(0)=1; u(t) 20; te ; 1= [0, 1]; 2 > 2>0 du dt =2u²; u(0)=1; u(t) 20; te ; 1= [0, 1]; 2 > 2>0

Answer rating: 100% (QA)

1 ST Forward and Buckward Euler Methods 13 dt dunt U Wuth un hf un Fy Foward Eul... View the full answer