A Study of Generalized Lienard Equation using Modified Homotopy Perturbation Method

Mechee, Mohammed S.; Al-Juaifri, Ghassan A.; Rajihy, Yasen

doi:10.36478/jeasci.2019.3901.3913

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2019

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“…For comparison, when the last example is solved by the Homotopy Perturbation Method (HPM), we will find that the approximate solution is a nearly exactly symmetric when µ = 1, [10].…”

Section: Methodsmentioning

confidence: 99%

Programming Variational Iteration Method via Wolfram-Mathematica for Solving Multi-Order Differential Equations

Al-Juaifri¹,

Al-Haboobi²,

Al-Ghabban³

2019

Int. J. of Appl. Math.

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In this study, we have studied the multi-order differential equations. The model we have followed agrees with initial value problem which, in its turn, has a group of linear ordinary differential equations. This paper's aim is programming a Variational Iteration Method (VIM) using Wolfram's Mathematica. Variational Iteration Method offers a study that introduce approximated solutions of the multi-order ordinary differential equations. Several examples of different order have been resolved.

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“…For comparison, when the last example is solved by the Homotopy Perturbation Method (HPM), we will find that the approximate solution is a nearly exactly symmetric when µ = 1, [10].…”

Section: Methodsmentioning

confidence: 99%