My Math Forum Galerkin Method Sine Series Expansion

 Differential Equations Ordinary and Partial Differential Equations Math Forum

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 2-D 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 2-D problem.
Attached Images
 756x1008.png.jpg (11.0 KB, 9 views)

 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.

 Tags expansion, galerkin, method, series, sine

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post Kinroh Complex Analysis 3 March 8th, 2016 04:33 PM king.oslo Complex Analysis 0 December 28th, 2014 06:50 AM carbon9 Algebra 2 July 25th, 2014 11:11 PM harryjobs Real Analysis 5 June 11th, 2014 07:30 PM elenaas Applied Math 2 December 3rd, 2009 08:38 AM

 Contact - Home - Forums - Cryptocurrency Forum - Top