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Variational Principle And Approximate Solution For The Generalized Burgers–Huxley Equation With Fractal Derivative

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  • KANG-JIA WANG

    (School of Physics and Electronic Information Engineering, Henan Polytechnic University, Jiaozuo 454003, P. R. China)

Abstract

Under the non-smooth condition, many theories obtained by the assumption on the smooth condition become invalid, so a generalized Burgers–Huxley equation (GBHE) with fractal derivative is introduced in this work. The fractal variational formulation for the problem is established by using the semi-inverse method, which provides conservation laws in an energy form and possible solution structures of the equation. The two-scale transform method and variational iteration method (VIM) are used to solve the fractal GBHE. The obtained results show a great agreement with the existed results.

Suggested Citation

  • Kang-Jia Wang, 2021. "Variational Principle And Approximate Solution For The Generalized Burgers–Huxley Equation With Fractal Derivative," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 29(02), pages 1-6, March.
    • Handle: RePEc:wsi:fracta:v:29:y:2021:i:02:n:s0218348x21500444
    DOI: 10.1142/S0218348X21500444
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    Cited by:

    1. Afzaal Mubashir Hayat & Muhammad Bilal Riaz & Muhammad Abbas & Moataz Alosaimi & Adil Jhangeer & Tahir Nazir, 2024. "Numerical Solution to the Time-Fractional Burgers–Huxley Equation Involving the Mittag-Leffler Function," Mathematics, MDPI, vol. 12(13), pages 1-22, July.

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