Question: Solve this time dependant problem i _EAU + B. Ju = f on interval [0,5] with E= 0,1 and B(x,y) = (_y, x) and
Solve this time dependant problem i _EAU + B. Ju = f on interval [0,5] with E= 0,1 and B(x,y) = (_y, x) and f(x, y) =exp(-((x-0,5) + (y-0,5))/2a)) with a =0,25 and initial value U = 0 and the domain is 2 = [1,1]X[-1,1] and the homogeneous Dirichlet boundary conditions arei u (x, 1) = U (x,1 ) = U(1y) = u(-1, y) =0 - Use the midpoint method and set the time step to st=0,1. Plot the solution at t=5 and interpret the solution.
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