Modified least squares homotopy perturbation method for solving fractional partial differential equations

Hayman Thabet; Subhash Kendre

doi:10.26637/MJM0602/0020

Abstract

This paper introduces a new modification of least squares homotopy perturbation method (LSHPM) for solving linear and nonlinear fractional partial differential equations (FPDEs). The main advantage of the new modification is to approximate the solution for FPDEs in a full general set. Moreover, the convergence of the proposed modification is shown. Analytical and numerical solutions for the linear Navier-Stokes equation and the nonlinear gas dynamic equation are successfully obtained to confirm the accuracy and efficiency of the proposed modification.

Keywords:

New modification of least squares homotopy perturbation method, Fractional partial differential equations, Time fractional linear Navier-Stokes equation, Time fractional nonlinear gas dynamic equation

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

Hayman Thabet Department of Mathematics, Savitribai Phule Pune University, Pune-411007, India. https://orcid.org/0000-0002-8544-4916
Subhash Kendre Department of Mathematics, Savitribai Phule Pune University, Pune-411007, India.

Pages: 420-427
Date Published: 01-04-2018
Vol. 6 No. 02 (2018): Malaya Journal of Matematik (MJM)

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