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The Variational Iteration Method for an Inverse Problem of Finding a Source Parameter

Part of: Equations and inequalities involving nonlinear operators Miscellaneous topics in calculus of variations and optimal control Parabolic equations and systems

Published online by Cambridge University Press:  18 January 2017

Zongli Ma  and
Shumin Li
Zongli Ma*
Affiliation:
School of Mathematical Sciences, University of Science and Technology of China, Hefei, Anhui 230026, China School of Mathematics and Computing Science, Anqing Teacher College, Anqing, Anhui 246011, China
Shumin Li
Affiliation:
School of Mathematical Sciences, University of Science and Technology of China, Hefei, Anhui 230026, China
*
*Corresponding author. Email:sdmzl@126.com (Z. L. Ma)

Abstract

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An inverse problem of determining unknown source parameter in a parabolic equation is considered. The variational iteration method (VIM) is presented to solve inverse problems. The solution gives good approximations by VIM. A numerical example shows that the VIM works effectively for an inverse problem.

Keywords

Inverse problemvariational iteration methodparabolic equation

MSC classification

Secondary: 35K05: Heat equation 35K99: None of the above, but in this section 47J06: Nonlinear ill-posed problems 49N45: Inverse problems

Information

Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 9 , Issue 4 , August 2017 , pp. 861 - 867
Copyright
Copyright © Global-Science Press 2017 

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