Natural homotopy perturbation method for solving nonlinear fractional gas dynamics equations

Hassan Kamil Jassim, Mayada Gassab Mohammed

2021International journal of nonlinear analysis and applications16 citationsDOI

Abstract

In this paper, we investigate solutions of nonlinear fractional differential equations by using Natural homotopy perturbation method (NHPM). This method is coupled by the Natural transform (NT) and homotopy perturbation method (HPM). The method in general is easy to implement and yields good results. Illustrative examples are included to demonstrate the validity and applicability of the presented method.

Topics & Concepts

Homotopy analysis methodPoincaré–Lindstedt methodNonlinear systemHomotopy perturbation methodMathematicsPerturbation (astronomy)Applied mathematicsHomotopyMathematical analysisPartial differential equationPhysicsSingular perturbationPure mathematicsQuantum mechanicsFractional Differential Equations SolutionsIterative Methods for Nonlinear EquationsAdvanced Control Systems Design