Approximate the solution to the following Parabolic partial differential equation by using the Crank-Nicolson method. du...

Transcribed Image Text:

Approximate the solution to the following Parabolic partial differential equation by using the Crank-Nicolson method. du 1 Pu =0, 0<x<1, 0<t u(0, ) - u(1, )=0 0<t, u(x, 0) =b sin TIX Osxs1 Use m= 2, T=0.05, N=1. Where a = 9 & b= 18 Approximate the solution to the following Parabolic partial differential equation by using the Crank-Nicolson method. du 1 Pu =0, 0<x<1, 0<t u(0, ) - u(1, )=0 0<t, u(x, 0) =b sin TIX Osxs1 Use m= 2, T=0.05, N=1. Where a = 9 & b= 18