Question: (b) Solve the following problems. Problem 2: Heat equation Given the heat equation tu=6x22u, with conditions u(0,t)=20t,u(2,t)=10t2,u(x,0)=x(2x),t>00x2 By taking x=h=0.5 and t=k=0.05, solve the heat

(b) Solve the following problems. Problem 2: Heat equation Given the heat equation tu=6x22u, with conditions u(0,t)=20t,u(2,t)=10t2,u(x,0)=x(2x),t>00x2 By taking x=h=0.5 and t=k=0.05, solve the heat equation using implicit Crank-Nicolson method up to second level
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