
Differential Equations Ordinary and Partial Differential Equations Math Forum 
 LinkBack  Thread Tools  Display Modes 
February 18th, 2017, 10:53 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, 01:08 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 09:16 PM. 

Tags 
expansion, galerkin, method, series, sine 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
series expansion  Kinroh  Complex Analysis  3  March 8th, 2016 05:33 PM 
Is finding laurent series expansion of f at z_0 using geometric series convenient?  king.oslo  Complex Analysis  0  December 28th, 2014 07:50 AM 
Series expansion of the signum function of sine  carbon9  Algebra  2  July 26th, 2014 12:11 AM 
ln2=0.using series expansion.2=1,how?  harryjobs  Real Analysis  5  June 11th, 2014 08:30 PM 
Galerkin Method  elenaas  Applied Math  2  December 3rd, 2009 09:38 AM 