Solution of fractional modified Kawahara equation: a semi-analytic approach

IF 0.4 Q4 MATHEMATICS, APPLIED Mathematics in applied sciences and engineering Pub Date : 2023-12-22 DOI:10.5206/mase/16369
Sagar R. Khirsariya, Snehal Rao, Jignesh P. Chauhan
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Abstract

The present study examines a semi-analytical method known as the Fractional Residual Power Series Method for obtaining solutions to the non-linear, time-fractional Kawahara and modified Kawahara equations. These equations are fifth-order, non-linear partial differential equations that arise in the context of shallow water waves. The analytical process and findings are compared with those obtained from the well-known Variational Iteration Method (VIM) and Homotopy Perturbation Method (HPM). The results obtained from the Fractional Residual Power Series Method are found to be more efficient, reliable, and easier to implement compared to other analytical and semi-analytical methods.
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分数修正川原方程的求解:一种半解析方法
本研究探讨了一种名为 "分数残差幂级数法 "的半解析方法,用于获取非线性、时间分数川原方程和修正川原方程的解。这些方程是五阶非线性偏微分方程,产生于浅水波。分析过程和结果与著名的变分迭代法(VIM)和同调扰动法(HPM)的结果进行了比较。与其他分析和半分析方法相比,分数残差幂级数法得出的结果更有效、更可靠、更易于实施。
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来源期刊
CiteScore
1.40
自引率
0.00%
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0
审稿时长
21 weeks
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