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ISSN: 2168-9679

Journal of Applied & Computational Mathematics
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Research Article

To the Efficiency of a Green's Function Modification of the Method of Functional Equations

Yuri A Melnikov*

Middle Tennessee State University, Murfreesboro, TN 37132, USA

*Corresponding Author:
Yuri A Melnikov
Middle Tennessee State University
Murfreesboro, TN 37132, USA
Tel: 1-615-898-2300
E-mail: [email protected]

Received Date: February 24, 2014; Accepted Date: April 17, 2014; Published Date: April 25, 2014

Citation: Melnikov YA (2014) To the Efficiency of a Green's Function Modification of the Method of Functional Equations. J Appl Computat Math 3:162 doi: 10.4172/2168-9679.1000162

Copyright: © 2014 Melnikov YA. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

Abstract

Analysis of the computational potential is provided for a modification of one of the numerical approaches to the classical boundary integral equations method. The originally proposed name of the approach is the method of functional equations, but in nowadays it is also referred to as the fundamental solutions method. Undesired after effects of this name flip are pointed out. The modification, implemented in this study, requires computer-friendly representations for some relevant Green's function and significantly enhances the resolving potential of the method. This work focuses on the exploration of the computational applicability of this modification. Chosen for that boundaryvalue problems and stated on regions of irregular configuration for second order elliptic equations with discontinuous coefficients.

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