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

  • Zongli Ma (a1) (a2) and Shumin Li (a1)
Abstract
Abstract

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.

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*Corresponding author. Email:sdmzl@126.com (Z. L. Ma)
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[1] M. Dehghan , An inverse problem of finding a source parameter in a semilinear parabolic equation, Appl. Math. Modelling, 25 (2001), pp. 743754.

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[14] S. M. Varedi , M. J. Hosseini , M. Rahimi and D. D. Ganji , He's variational iteration method for solving a semi-linear inverse parabolic equation, Phys. Lett. A, 370 (2007), pp. 275280.

[17] M. Tatari and M. Dehghan , On the convergence of He's variational iteration method, J. Comput. Appl. Math., 207 (2007). pp. 121128.

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Advances in Applied Mathematics and Mechanics
  • ISSN: 2070-0733
  • EISSN: 2075-1354
  • URL: /core/journals/advances-in-applied-mathematics-and-mechanics
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