Results 91 to 100 of about 3,488 (215)

Homotopy perturbation method for solving perturbation problems [PDF]

, 2014
In this paper, the application of homotopy perturbation method (HPM) is extended to the perturbation problems. The HPM yields an analytical solution in terms of a rapidly convergent infinite power series with easily computable terms.
Chowdhury, Md. Sazzad Hossien
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An Efficient Approach for Fractional Harry Dym Equation by Using Sumudu Transform

Abstract and Applied Analysis, 2013
An efficient approach based on homotopy perturbation method by using sumudu transform is proposed to solve nonlinear fractional Harry Dym equation. This method is called homotopy perturbation sumudu transform (HPSTM).
Devendra Kumar, Jagdev Singh, A. Kılıçman   +2 more
doaj   +1 more source

A Decompositional Approach for Two‐Dimensional, Two‐Phase, Nonlinear Inverse Stefan Problems Using the Method of Fundamental Solutions

Studies in Applied Mathematics, Volume 156, Issue 2, February 2026.
ABSTRACT In this paper, we propose a decompositional (phase‐wise split) approach to solve a two‐dimensional, two‐phase (solid and liquid, say), nonlinear inverse Stefan problem. The first step is to approximate the unknown moving boundary between the two phases and the Stefan condition on that boundary using the overspecified boundary and initial data ...
Gujji Murali Mohan Reddy, Phalguni Nanda, Michael Vynnycky   +2 more
wiley   +1 more source

Homotopy-perturbation method for heat transfer equations [PDF]

, 2010
In this paper, we present a reliable new algorithm based on the homotopy-perturbation method (HPM) to determine the temperature distribution of a straight rectangular fin with power-law temperature dependent surface heat flux.
Ismail, A. F., Chowdhury, Md. Sazzad Hossien, Siddiquei, Hasin Reza, Rahman, M. M.   +3 more
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HE'S HOMOTOPY PERTURBATION METHOD FOR A GENERAL RICCATI EQUATION

International Journal of Modern Physics B, 2009
The factorization method of the Hamiltonian in quantum mechanics is used to solve a particular type of Riccati equation. In this paper, He's homotopy perturbation method is applied to a general Riccati equation. The obtained solutions are in recursive sequence forms and, in many cases, these solutions lead to an exact solution. This property generally
Ozis, Turgut, Agirseven, Deniz
openaire   +3 more sources

Numerically Modeling Solve by Homotopy Perturbation Method [PDF]

, 2019
In this paper, we used the homotopy perturbation method (HPM) to obtain a different approximate solutions of the Cauchy problem using in one dimensional nonlinear thermoelasticity.
Razzaq, Anmole
core   +1 more source

Approximate Solutions of Fractional Nonlinear Equations Using Homotopy Perturbation Transformation Method

Abstract and Applied Analysis, 2012
A homotopy perturbation transformation method (HPTM) which is based on homotopy perturbation method and Laplace transform is first applied to solve the approximate solution of the fractional nonlinear equations.
Yanqin Liu
doaj   +1 more source

Analytical solutions of convection–diffusion problems by combining Laplace transform method and homotopy perturbation method

Alexandria Engineering Journal, 2015
The aim of this paper was to present a user friendly numerical algorithm based on homotopy perturbation transform method for solving various linear and nonlinear convection-diffusion problems arising in physical phenomena where particles, energy, or ...
Sumit Gupta, Devendra Kumar, Jagdev Singh   +2 more
doaj   +1 more source

The Application of Homotopy Perturbation Method: An Overview

Asian Research Journal of Mathematics, 2022
As an effective method for solving linear and nonlinear equations, the homotopy perturbation method is usually applied to solving relevant problems. We analyze 74 studies on the application of the homotopy perturbation method and present a comprehensive review of them with the conclusion obtained: (1) Homotopy perturbation method is generally applied ...
openaire   +2 more sources

Penyelesaian model infeksi HIV pada sel darah Putih (T CD4+) dengan menggunakan metode perturbasi homotopi [PDF]

, 2011
Acquired immunodefficiency syndrome (AIDS) is defined as symptoms of human immune system deterioration caused by human immunodefficiency virus (HIV). The virus damages the leucocytes; therefore, once a person is infected by the HIV, his/her immune system
Wahfuanah
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