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Q: Solving heat equation using Bender-Schmidt method.

BAYMAXI was trying to solve this heat equation using Bender-Schmidt method $$u^{j+1} = A u^{j}+rB$$ The heat equation is $$u_{xx} = 32u_{t},0<x<1,u(x,0)=0,u(0,t)=0,u(1,t)=10+t$$taking $$h = 0.25,k=0.025$$ for $$0 \leq t \leq 1$$ Where $h$ is the step length for $x$ axis and $k$ is the step size in tim...

 

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