Determination of a time-dependent source term using local meshless method

Volume 6, Issue 6, December 2021     |     PP. 101-113      |     PDF (798 K)    |     Pub. Date: December 28, 2021
DOI: 10.54647/mathematics11265    74 Downloads     5675 Views  

Author(s)

Baiyu Wang, College of Computer Engineering and Applied Mathematics, Changsha University, China
Wei Liu, College of Computer Engineering and Applied Mathematics, Changsha University, China

Abstract
For the past few years, the meshless method has played a great advantage in solving partial differential equations. In this paper, a local meshless method based on moving least square and local radial basis functions is used to solve the inverse problem of heat conduction equation. The inverse problem is determination of a source term, and the unknown source term is time dependent. Numerical experiments are given to demonstrate the accuracy, effectiveness and feasibility of this method.

Keywords
Local meshless method, Inverse problem, Heat equation, Source term

Cite this paper
Baiyu Wang, Wei Liu, Determination of a time-dependent source term using local meshless method , SCIREA Journal of Mathematics. Volume 6, Issue 6, December 2021 | PP. 101-113. 10.54647/mathematics11265

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