Title

The Method of Approximate Particular Solutions For Solving Certain Partial Differential Equations

Document Type

Article

Publication Date

3-1-2012

Department

Mathematics

Abstract

A standard approach for solving linear partial differential equations is to split the solution into a homogeneous solution and a particular solution. Motivated by the method of fundamental solutions for solving homogeneous equations, we propose a similar approach using the method of approximate particular solutions for solving linear inhomogeneous differential equations without the need of finding the homogeneous solution. This leads to a much simpler numerical scheme with similar accuracy to the traditional approach. To demonstrate the simplicity of the new approach, three numerical examples are given with excellent results. (c) 2010 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 28: 506522, 2012

Publication Title

Numerical Methods for Partial Differential Equations

Volume

28

Issue

2

First Page

506

Last Page

522