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Convergence of Variational Iteration Method for Solving Singular Partial Differential Equations of Fractional Order

Author

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  • Asma Ali Elbeleze
  • Adem Kılıçman
  • Bachok M. Taib

Abstract

We are concerned here with singular partial differential equations of fractional order (FSPDEs). The variational iteration method (VIM) is applied to obtain approximate solutions of this type of equations. Convergence analysis of the VIM is discussed. This analysis is used to estimate the maximum absolute truncated error of the series solution. A comparison between the results of VIM solutions and exact solution is given. The fractional derivatives are described in Caputo sense.

Suggested Citation

  • Asma Ali Elbeleze & Adem Kılıçman & Bachok M. Taib, 2014. "Convergence of Variational Iteration Method for Solving Singular Partial Differential Equations of Fractional Order," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-11, July.
    • Handle: RePEc:hin:jnlaaa:518343
    DOI: 10.1155/2014/518343
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    Cited by:

    1. Jing Chang & Jin Zhang & Ming Cai, 2021. "Series Solutions of High-Dimensional Fractional Differential Equations," Mathematics, MDPI, vol. 9(17), pages 1-21, August.

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