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

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.

Step by Step Solution

3.45 Rating (161 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!