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A meshless method for solving an inverse spacewise-dependent heat source problem

โœ Scribed by Liang Yan; Feng-Lian Yang; Chu-Li Fu

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
420 KB
Volume
228
Category
Article
ISSN
0021-9991

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โœฆ Synopsis

In this paper an effective meshless and integration-free numerical scheme for solving an inverse spacewise-dependent heat source problem is proposed. Due to the use of the fundamental solution as basis functions, the method leads to a global approximation scheme in both spatial and time domains. The standard Tikhonov regularization technique with the generalized cross-validation criterion for choosing the regularization parameter is adopted for solving the resulting ill-conditioned system of linear algebraic equations. The effectiveness of the algorithm is illustrated by several numerical examples.

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## a b s t r a c t In this article, the identification of an unknown time-dependent source term in an inverse problem of parabolic type with nonlocal boundary conditions is considered. The main approach is to change the inverse problem to a system of Volterra integral equations. The resulting integ