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Numerical studies for the variable-order nonlinear fractional wave equation

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Abstract

In this paper, the explicit finite difference method (FDM) is used to study the variable order nonlinear fractional wave equation. The fractional derivative is described in the Riesz sense. Special attention is given to study the stability analysis and the convergence of the proposed method. Numerical test examples are presented to show the efficiency of the proposed numerical scheme.

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Authors and Affiliations

  1. Department of Mathematics Faculty of Science, Cairo University, Giza, Egypt

    N. H. Sweilam

  2. Department of Mathematics Faculty of Science, Benha University, Benha, Egypt

    M. M. Khader

  3. Department of Mathematics Faculty of Science, El-Mergib University, Al-Khums, Libya

    H. M. Almarwm

Authors
  1. N. H. Sweilam
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  2. M. M. Khader
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  3. H. M. Almarwm
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Correspondence to N. H. Sweilam.

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Sweilam, N.H., Khader, M.M. & Almarwm, H.M. Numerical studies for the variable-order nonlinear fractional wave equation. fcaa 15, 669–683 (2012). https://doi.org/10.2478/s13540-012-0045-9

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  • DOI: https://doi.org/10.2478/s13540-012-0045-9

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