On the numerical solution of direct and inverse problems for the heat equation in a semi-infinite region

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:108

Article

Chapko, R

关键词: heat equation;    semi-infinite region;    initial boundary value problem;    inverse boundary problem;    Green's function;    integral equation;    collocation method;    trigonometric interpolation;    Newton method;    regularization;   

DOI  :  10.1016/S0377-0427(99)00099-0

来源: Elsevier

【 摘 要 】

We consider the initial boundary value problem for the heat equation in a region with infinite and finite boundaries (direct problem) and the related problem to reconstruct the finite boundary fi om Cauchy data on the infinite boundary (inverse problem). The numerical solution of the direct problem is realized by a boundary integral equation method. For an approximate solution of the inverse problem we use a regularized Newton method based on numerical approach for the direct problem. Numerical examples illustrating our results are presented. (C) 1999 Elsevier Science B.V. All rights reserved.

【 授权许可】

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