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L Guo, D. Murio. A mollified space-marching finite-difference algorithm for the two-dimensional inverse heat conduction problem with slab symmetry. Inverse problem, 1991, Vol. 7, No. 2, PP. 247-259.

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Article

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

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


Turkish Journal of Analysis and Number Theory. 2014, Vol. 2 No. 3, 70-74
DOI: 10.12691/tjant-2-3-3
Copyright © 2014 Science and Education Publishing

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.

Correspondence to: Ruihua  Cao, School of Mathematics and Computer science, Shanxi Normal University, Linfen, China. Email: caoruihua0056@126.com

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.

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