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

Hayman Thabet1*and Subhash Kendre2

doi:10.26637/MJM0602/0020

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

Authors :

Hayman Thabet^1*and Subhash Kendre²

Author Address :

^1,2Department of Mathematics, Savitribai Phule Pune University, Pune-411007, India.

*Corresponding author.

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 fractiona

DOI :

10.26637/MJM0602/0020

Article Info :

Received : November 25, 2017; Accepted : March 06, 2018.