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February 18th, 2017, 09:53 AM  #1 
Newbie Joined: Feb 2017 From: College Station Posts: 7 Thanks: 0  Galerkin Method Sine Series Expansion
I'm currently working on a 2D Finite Difference code in MATLAB and am trying to check the approximations with the exact solution. Unfortunately I don't know how to employ the Galerkin Method to solve the given equation for exact results. Problem statement is attached. Any help is appreciated on solving this 2D problem.

February 18th, 2017, 12:08 PM  #2 
Newbie Joined: Feb 2017 From: College Station Posts: 7 Thanks: 0 
In case the picture is unclear, (∂²u/∂x² + ∂²u/∂y²) + uk² = xk² u = u(x,y) u is a function of x and y Boundary conditions are zero of the square domain (0,1)×(0,1) Determine an exact solution in the form of a sine series expansion by employing the Galerkin Method. Last edited by skipjack; February 18th, 2017 at 08:16 PM. 

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expansion, galerkin, method, series, sine 
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