THE ELZAKI HOMOTOPY PERTURBATION METHOD FOR PARTIAL DIFFERENTIAL EQUATIONS

International Journal of Mathematical Modelling & Computations

مقاله 7، دوره 3، 2 (SPRING)، فروردین 2013، صفحه 131-147   

نویسندگان

M. Matinfar¹؛ M. Ghasemi²

¹University of Mazandaran Iran, Islamic Republic of

²Iran, Islamic Republic of

چکیده

In this paper, Elzaki Homotopy Perturbation Method is employed for solving linear and nonlinear differential equations with a variable coffecient. This method is a combination of Elzaki transform and Homotopy Perturbation Method. The aim of using Elzaki transform is to overcome the deficiencies that mainly caused by unsatised conditions in some semi-analytical methods such as Homotopy Perturbation Method, Variational Iteration Method and Adomian Decomposition Method. The approximate solutions obtained by means of Elzaki Homotopy Perturbation Method were compared in a wide range of problem's domain with those results obtained by Homotopy Perturbation Method. The comparison shows a precise agreement between the exact solutions and the obtained results by this new method as an applicable one, which needs less computations and is much easier and more convenient than others. So, it can be widely used in engineering and other branches of science.
 

کلیدواژه‌ها

Elzaki transform؛ Homotopy Perturbation method؛ Iteration Method؛ Convergence analysis