Using the Crank Nicolson method, integrate upto one time level for the

Question

Using the Crank Nicolson method, integrate upto one time level for the solution of the initial value problem:

$\frac{\partial u}{\partial t}=\frac{\partial ^2u}{\partial x2},0<x<1$

with $u(x,0)=sin 2\pi x,$

$u(0,t)=0=u(1,t)$

with $h=\frac{1}{3}$ and $\lambda =\frac{1}{6}.$

22 Mar 2023

Answer :

Word Count : 176

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