Volume : IV, Issue : III, March - 2014

Solution of the linear and non–linear differential equations by using Homotopy perturbation method

V. Ananthaswamy , R. Shanthakumari

Abstract :

In this paper we use He’s Homotopy perturbation method is applied to solve a system of linear ordinary diferential equations of the first order and some first order non–linear ordinary differential equations like Abelian differential equations. The method yields solutions in convergent series form with easily computable terms. The result shows that these methods are very convenient and can be applied to a large class of problems. Some numerical examples are given to the effectiveness of the method. Our analytical results are compared with the numerical results and a satisfactory agreement is noted.

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Article: Download PDF   DOI : 10.36106/ijar  

Cite This Article:

V.Ananthaswamy , R.Shanthakumari Solution of the linear and non-linear differential equations by using Homotopy perturbation method Indian Journal of Applied Research, Vol.IV, Issue. III

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