My Math Forum  

Go Back   My Math Forum > College Math Forum > Applied Math

Applied Math Applied Math Forum

LinkBack Thread Tools Display Modes
February 18th, 2017, 01:43 PM   #1
Joined: Feb 2017
From: College Station

Posts: 7
Thanks: 0

2-D Finite Difference 4th Order Equilibrium Approximation Derivation

I'm having issues deriving 4th order equations for my finite difference method.
I was able to do the second order but am confused on the 2-D 4th order derivation and was wondering if anyone could show me how to derive it in 2-D.

Attached is an example of how I was able to do 2nd and 4th order in 1-D. The boxed answered in the doc is what I'm trying to derive for the 2-d case.

The new equation i'd like to apply this to is u''+uk^2=xk^2 with 4th order approximation.

where u=u(x,y) and boundary conditions are zero for the Square Domain (0,1)X(0,1).
Attached Files
File Type: zip (87.8 KB, 0 views)
Aggieland is offline  

  My Math Forum > College Math Forum > Applied Math

4th, approximation, derivation, difference, equilibrium, finite, order

Thread Tools
Display Modes

Similar Threads
Thread Thread Starter Forum Replies Last Post
High order first derivative approximation with finite difference schemes Genik Applied Math 0 November 3rd, 2014 04:49 AM
Finite Difference Approximation desarkt Applied Math 6 April 15th, 2014 05:13 AM
derivation of trigonometry sum difference formulae bongantedd Trigonometry 2 February 21st, 2014 04:43 AM
Finite Difference table Stephanie7 Algebra 1 May 20th, 2009 09:00 AM
approximation of integrals as finite sums aptx4869 Real Analysis 3 May 23rd, 2007 09:19 PM

Copyright © 2019 My Math Forum. All rights reserved.