A new approximate method for an inverse time-dependent heat source problem using fundamental solutions and RBFs

作者：Amirfakhrian M; Arghand M; Kansa E J

来源：Engineering Analysis with Boundary Elements, 2016, 64: 278-289.

DOI：10.1016/j.enganabound.2015.12.016

• Meshless methods
• Radial basis functions
• Method of fundamental solutions
• Inverse heat source problem
• Time-dependent heat source problems
• Tikhonov regularization (TR)
• Ill-posed problems

This paper presents a meshless numerical scheme to solve the inverse heat source time dependent problem. Fundamental solutions of heat equations and radial basis functions (RBFs) are used to obtain a numerical solution. Since the coefficient matrix may be ill-conditioned, the Tikhonov regularization (TR) method is employed to solve the resulting system of linear equations. Therefore, the generalized cross validation (GCV) criterion is applied to choose a regularization parameter. The accuracy and efficiency of the proposed method is illustrated by some numerical examples.

• 出版日期2016-3