2014Unpublished venueRequires access

Analytical Approximate Solutions of the Systems of Non Linear Partial Differential Equations by Homotopy Perturbation Method (HPM), and Homotopy Analysis Method (HAM)

Hafiz Abdul Wahab, Tahir Khan, Muhammad Shakil, Saira Bhatti, Muhammad Naeem

Open publisher page 2 citations

Abstract

In this article two perturbation methods, namely Homotopy Perturbation Method and Homotopy Analysis Method are applied to the non linear partial differential equations, the results have been compared. The obtain results of HPM and HAM coincide with each other. Also the relations between these two methods are also explained.

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What this paper is about

In this article two perturbation methods, namely Homotopy Perturbation Method and Homotopy Analysis Method are applied to the non linear partial differential equations, the results have been compared. The obtain results of HPM and HAM coincide with each other. Also the relations between these two methods are also explained.

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OpenAlex reports 2 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this article two perturbation methods, namely Homotopy Perturbation Method and Homotopy Analysis Method are applied to the non linear partial differential equations, the results have been compared. The obtain results of HPM and HAM coincide with each other. Also the relations between these two methods are also explained.

Key concepts: Homotopy analysis method, Homotopy perturbation method, Mathematics, Perturbation (astronomy), Homotopy, Partial differential equation, Poincaré–Lindstedt method, Mathematical analysis

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Analytical Approximate Solutions of the Systems of Non Linear Partial Differential Equations by Homotopy Perturbation Method (HPM), and Homotopy Analysis Method (HAM) — Research Paper | ScholarLens