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

Authors:
Liang Yan;Feng-Lian Yang;Chu-Li Fu
Affiliations:
School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, China;School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, China;School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, China
Venue:
Journal of Computational Physics
Year:
2009

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Abstract

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.