Solve this time dependant problem i _EAU + B. Ju = f on interval [0,5] with...
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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)² + (y-0,5)²)/2a²)) with a =0,25 and initial value U₂ = 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(1₁y) = 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. 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)² + (y-0,5)²)/2a²)) with a =0,25 and initial value U₂ = 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(1₁y) = 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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Related Book For
Income Tax Fundamentals 2013
ISBN: 9781285586618
31st Edition
Authors: Gerald E. Whittenburg, Martha Altus Buller, Steven L Gill
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