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NUMERICAL APPROACHES TO TIME FRACTIONAL BOUSSINESQ–BURGERS EQUATIONS

Junfeng Lu and Yi Sun
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Junfeng Lu: Hangzhou Institute of Commerce, Zhejiang, Gongshang University, Hangzhou 310018, P. R. China
Yi Sun: Hangzhou Institute of Commerce, Zhejiang, Gongshang University, Hangzhou 310018, P. R. China

FRACTALS (fractals), 2021, vol. 29, issue 08, 1-10

Abstract: In this paper, two numerical approaches including the homotopy perturbation transform method (HPTM) and the method based on the fractional complex transform and homotopy perturbation method (named as FCT-HPM) are presented for finding the approximated solutions of the time fractional Boussinesq–Burgers equations with He’s fractional derivative. The FCT-HPM and HPTM solutions are provided without any linearization or complicated computation. Numerical comparisons are shown to illustrate the efficiency of these two methods.

Keywords: Time Fractional Boussinesq–Burgers Equation; Fractional Complex Transform; Homotopy Perturbation Method; Homotopy Perturbation Transform Method (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1142/S0218348X21502443

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