• Numerical study of multidimensional fractional time and space coupled Burgers’ equations

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      https://www.ias.ac.in/article/fulltext/pram/094/0072

    • Keywords

       

      Collocationmethod; Caputo derivative; fractional-order Burgers’ equations; Gegenbauer polynomials

    • Abstract

       

      This paper declares a new spectral collocation technique to provide accurate approximate solutions of the one- and two-dimensional time and space fractional coupled Burgers’ equations (TSFCBEs) in which the fractional derivatives are defined according to Caputo’s definition. The suggested method is based on the shifted Gegenbauer polynomials (SGPs) for approximating the solution of TSFCBEs. The suggested technique reduces the considered problems to the solution of nonlinear algebraic equations (NLAEs). Moreover, the accuracy and reliability of the proposed method are confirmed through numerical examples. Finally, the obtained numerical results are compared with those previously reported in the literature.

    • Author Affiliations

       

      HODA F AHMED1 M S M BAHGAT1 MOFIDA ZAKI1

      1. Mathematics Department, Faculty of Science, Minia University, El-Minia, Egypt
    • Dates

       
  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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