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A powerful approach to study the new modified coupled Korteweg–de Vries system

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  • Akinyemi, Lanre
  • Huseen, Shaheed N.

Abstract

In this work, the q-homotopy analysis transform method (shortly q-HATM) which is a combined form of q-homotopy analysis method and Laplace transform method is employed to find numerical solution to the new modified coupled Korteweg–de Vries system. This method allows us to fine-tune the convergence region along with rate of convergence of the obtained series solution by allowing the auxiliary parameters n and ħ to vary. The obtained solution by the proposed method is presented in a refined convergent series form. The numerical results show that only few terms are sufficient to obtain an approximate solution which is accurate, efficient, and reliable. Furthermore, the graphical depictions of the obtained approximate solution of the system are presented.

Suggested Citation

  • Akinyemi, Lanre & Huseen, Shaheed N., 2020. "A powerful approach to study the new modified coupled Korteweg–de Vries system," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 177(C), pages 556-567.
    • Handle: RePEc:eee:matcom:v:177:y:2020:i:c:p:556-567
    DOI: 10.1016/j.matcom.2020.05.021
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    References listed on IDEAS

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    1. Shaheed N. Huseen & Said R. Grace, 2013. "Approximate Solutions of Nonlinear Partial Differential Equations by Modified -Homotopy Analysis Method," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-9, November.
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    Cited by:

    1. Akinyemi, Lanre & Şenol, Mehmet & Iyiola, Olaniyi S., 2021. "Exact solutions of the generalized multidimensional mathematical physics models via sub-equation method," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 182(C), pages 211-233.

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