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Construction of Analytic Solution for Time-Fractional Boussinesq Equation Using Iterative Method

Author

Listed:
  • Fei Xu
  • Yixian Gao
  • Weipeng Zhang

Abstract

This paper is aimed at constructing analytical solution for both linear and nonlinear time-fractional Boussinesq equations by an iterative method. By the iterative process, we can obtain the analytic solution of the fourth-order time-fractional Boussinesq equation in , , and , the sixth-order time-fractional Boussinesq equation, and the th-order time-fractional Boussinesq equation in . Through these examples, it shows that the method is simple and effective.

Suggested Citation

  • Fei Xu & Yixian Gao & Weipeng Zhang, 2015. "Construction of Analytic Solution for Time-Fractional Boussinesq Equation Using Iterative Method," Advances in Mathematical Physics, Hindawi, vol. 2015, pages 1-7, November.
  • Handle: RePEc:hin:jnlamp:506140
    DOI: 10.1155/2015/506140
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    Cited by:

    1. Gbenga O. Ojo & Nazim I. Mahmudov, 2021. "Aboodh Transform Iterative Method for Spatial Diffusion of a Biological Population with Fractional-Order," Mathematics, MDPI, vol. 9(2), pages 1-21, January.

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