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Numerical method for solving fractional coupled Burgers equations

Author

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  • Prakash, Amit
  • Kumar, Manoj
  • Sharma, Kapil K.

Abstract

In this paper, we use the fractional variational iteration method (FVIM) to solve a time- and space-fractional coupled Burgers equations. Some numerical examples are presented to show the efficiency of considered method. A comparison of the proposed method is made with the exact solution, adomain decomposition method (ADM), generalized differential transformation method (GDTM) and homotopy perturbation method (HPM).

Suggested Citation

  • Prakash, Amit & Kumar, Manoj & Sharma, Kapil K., 2015. "Numerical method for solving fractional coupled Burgers equations," Applied Mathematics and Computation, Elsevier, vol. 260(C), pages 314-320.
    • Handle: RePEc:eee:apmaco:v:260:y:2015:i:c:p:314-320
    DOI: 10.1016/j.amc.2015.03.037
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    Citations

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    Cited by:

    1. 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.
    2. Gao, Wei & Silambarasan, Rathinavel & Baskonus, Haci Mehmet & Anand, R. Vijay & Rezazadeh, Hadi, 2020. "Periodic waves of the non dissipative double dispersive micro strain wave in the micro structured solids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    3. Tomar, Saurabh & Singh, Mehakpreet & Vajravelu, Kuppalapalle & Ramos, Higinio, 2023. "Simplifying the variational iteration method: A new approach to obtain the Lagrange multiplier," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 204(C), pages 640-644.
    4. Mamta Kapoor & Nehad Ali Shah & Salman Saleem & Wajaree Weera, 2022. "An Analytical Approach for Fractional Hyperbolic Telegraph Equation Using Shehu Transform in One, Two and Three Dimensions," Mathematics, MDPI, vol. 10(12), pages 1-26, June.
    5. Neslihan Ozdemir & Aydin Secer & Mustafa Bayram, 2019. "The Gegenbauer Wavelets-Based Computational Methods for the Coupled System of Burgers’ Equations with Time-Fractional Derivative," Mathematics, MDPI, vol. 7(6), pages 1-15, May.

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