Answer to Question #241599 in Differential Equations for FABULU

Question

Consider the Burger's equation U_t+U*U_x=U_xx with the initial conditions U(x,0)=4x(1-x), 0<x<1 and the homogeneous boundary condition U(0,t)=U(1,t)=0, t>0. Choose t=0.5, k=0.05 and h=0.2. Use Explicit Finite Difference Method to solve the burger's equation and write Matlab code to solve the value of U_ij at each mesh point.

Answer 1

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