THE ELZAKI HOMOTOPY PERTURBATION METHOD FOR PARTIAL DIFFERENTIAL EQUATIONS

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MATINFAR M.; GHASEMI M.; AMINZADEH M.

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Journal Paper

Paper Information

Journal: INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION Year:2013 | Volume:3 | Issue:2 Page(s): 131-147

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Information Journal Paper

Title

THE ELZAKI HOMOTOPY PERTURBATION METHOD FOR PARTIAL DIFFERENTIAL EQUATIONS

Author(s)

MATINFAR M. | GHASEMI M. | AMINZADEH M. | Issue Writer Certificate

Keywords

ELZAKI TRANSFORM

HOMOTOPY PERTURBATION METHOD

ITERATION METHOD

CONVERGENCE ANALYSIS

Abstract

In this paper, Elzaki HOMOTOPY PERTURBATION METHOD is employed for solving linear and nonlinear differential equations with a variable coefficient. 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 unsatisfied 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 computation and is much easier and more convenient than others. So, it can be widely used in engineering and other branches of science.

Cites

EFFECT OF COUNTER PROPAGATING CAPILLARY GRAVITY WAVE PACKETS ON THIRD ORDER NONLINEAR EVOLUTION EQUATIONS IN THE PRESENCE OF WIND FLOWING OVER WATER

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APA: Copy

MATINFAR, M., GHASEMI, M., & AMINZADEH, M.. (2013). THE ELZAKI HOMOTOPY PERTURBATION METHOD FOR PARTIAL DIFFERENTIAL EQUATIONS. INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION, 3(2), 131-147. SID. https://sid.ir/paper/328298/en

Vancouver: Copy

MATINFAR M., GHASEMI M., AMINZADEH M.. THE ELZAKI HOMOTOPY PERTURBATION METHOD FOR PARTIAL DIFFERENTIAL EQUATIONS. INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION[Internet]. 2013;3(2):131-147. Available from: https://sid.ir/paper/328298/en

IEEE: Copy

M. MATINFAR, M. GHASEMI, and M. AMINZADEH, “THE ELZAKI HOMOTOPY PERTURBATION METHOD FOR PARTIAL DIFFERENTIAL EQUATIONS,” INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION, vol. 3, no. 2, pp. 131–147, 2013, [Online]. Available: https://sid.ir/paper/328298/en

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