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A new iterative technique for a fractional model of nonlinear Zakharov–Kuznetsov equations via Sumudu transform

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  • Prakash, Amit
  • Kumar, Manoj
  • Baleanu, Dumitru

Abstract

The main objective of this paper is to suggest a new computational technique namely new iterative Sumudu transform method (NISTM) to solve numerically nonlinear time-fractional Zakharov–Kuznetsov (FZK) equation in two dimensions. We implemented the proposed technique on two test examples, plotted the solution and compared the absolute error with the variational iterative technique (VIM) and homotopy perturbation transform method (HPTM).

Suggested Citation

  • Prakash, Amit & Kumar, Manoj & Baleanu, Dumitru, 2018. "A new iterative technique for a fractional model of nonlinear Zakharov–Kuznetsov equations via Sumudu transform," Applied Mathematics and Computation, Elsevier, vol. 334(C), pages 30-40.
    • Handle: RePEc:eee:apmaco:v:334:y:2018:i:c:p:30-40
    DOI: 10.1016/j.amc.2018.03.097
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    References listed on IDEAS

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    7. Singh, Harendra, 2018. "Approximate solution of fractional vibration equation using Jacobi polynomials," Applied Mathematics and Computation, Elsevier, vol. 317(C), pages 85-100.
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