Work

Numerical Method for Solving Nonhomogeneous Backward Heat Conduction Problem

Year: 2018

Type: article

Abstract: In this paper we consider a numerical method for solving nonhomogeneous backward heat conduction problem. Coupled with the likewise Crank Nicolson scheme and an intermediate variable, the backward problem is transformed to a nonhomogeneous Helmholtz type problem; the unknown initial temperature can be obtained by solving this Helmholtz type problem. To illustrate the effectiveness and accuracy of the proposed method, we solve several problems in both two and three dimensions. The results show that this numerical method can solve nonhomogeneous backward heat conduction problem effectively and precisely, even though the final temperature is disturbed by significant noise.

Source: International Journal of Differential Equations

DOI: 10.1155/2018/1868921

Authors: LingDe Su, TongSong Jiang

Institutions: North-Eastern Federal University, Heze University

Language: English

Topic: Numerical methods in inverse problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,130

Funder: Russian Foundation for Basic Research