کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
512630 | 866418 | 2012 | 8 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Simultaneous determination for a space-dependent heat source and the initial data by the MFS Simultaneous determination for a space-dependent heat source and the initial data by the MFS](/preview/png/512630.png)
In this paper we propose a numerical algorithm based on the method of fundamental solutions for recovering a space-dependent heat source and the initial data simultaneously in an inverse heat conduction problem. The problem is transformed into a homogeneous backward-type inverse heat conduction problem and a Dirichlet boundary value problem for Poisson's equation. We use an improved method of fundamental solutions to solve the backward-type inverse heat conduction problem and apply the finite element method for solving the well-posed direct problem. The Tikhonov regularization method combined with the generalized cross validation rule for selecting a suitable regularization parameter is applied to obtain a stable regularized solution for the backward-type inverse heat conduction problem. Numerical experiments for four examples in one-dimensional and two-dimensional cases are provided to show the effectiveness of the proposed algorithm.
Journal: Engineering Analysis with Boundary Elements - Volume 36, Issue 12, December 2012, Pages 1848–1855