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An Efficient Algorithm for Some Highly Nonlinear Fractional PDEs in Mathematical Physics

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  • Jamshad Ahmad
  • Syed Tauseef Mohyud-Din

Abstract

In this paper, a fractional complex transform (FCT) is used to convert the given fractional partial differential equations (FPDEs) into corresponding partial differential equations (PDEs) and subsequently Reduced Differential Transform Method (RDTM) is applied on the transformed system of linear and nonlinear time-fractional PDEs. The results so obtained are re-stated by making use of inverse transformation which yields it in terms of original variables. It is observed that the proposed algorithm is highly efficient and appropriate for fractional PDEs and hence can be extended to other complex problems of diversified nonlinear nature.

Suggested Citation

  • Jamshad Ahmad & Syed Tauseef Mohyud-Din, 2014. "An Efficient Algorithm for Some Highly Nonlinear Fractional PDEs in Mathematical Physics," PLOS ONE, Public Library of Science, vol. 9(12), pages 1-17, December.
    • Handle: RePEc:plo:pone00:0109127
    DOI: 10.1371/journal.pone.0109127
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    References listed on IDEAS

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    1. Sweilam, N.H. & Khader, M.M., 2007. "Variational iteration method for one dimensional nonlinear thermoelasticity," Chaos, Solitons & Fractals, Elsevier, vol. 32(1), pages 145-149.
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