Turkish Journal of Analysis and Number Theory
ISSN (Print): 2333-1100 ISSN (Online): 2333-1232 Website: http://www.sciepub.com/journal/tjant
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Turkish Journal of Analysis and Number Theory. 2014, 2(3), 70-74
DOI: 10.12691/tjant-2-3-3
Open AccessArticle

Numerical Computation Based on the Method of Fundamental Solutions for a Cauchy Problem of Heat Equation

Ruihua Cao1,

1School of Mathematics and Computer science, Shanxi Normal University, Linfen, China

Pub. Date: June 19, 2014

Cite this paper:
Ruihua Cao. Numerical Computation Based on the Method of Fundamental Solutions for a Cauchy Problem of Heat Equation. Turkish Journal of Analysis and Number Theory. 2014; 2(3):70-74. doi: 10.12691/tjant-2-3-3

Abstract

In this note, a boundary integral equation method coupled with the method of fundamental solutions for solving an inverse heat conduction problem is considered. The Tikhonov regularization method is employed for solving this system of equations. Determination of regularization parameter is based on GCV criterion. To illustrate our main results, some numerical examples are given.

Keywords:
inverse problem of the heat equation method of fundamental solutions integral equation method

Creative CommonsThis work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

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