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A NEW MODIFIED HOMOTOPY PERTURBATION METHOD FOR SOLVING LINEAR SECOND-ORDER FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS

Publish Year: 1391
Type: Journal paper
Language: English
View: 167

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Document National Code:

JR_IJMAC-2-4_005

Index date: 18 January 2023

A NEW MODIFIED HOMOTOPY PERTURBATION METHOD FOR SOLVING LINEAR SECOND-ORDER FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS abstract

In this paper, we tried to accelerate the rate of convergence in solving second-order Fredholm type Integro-differential equations using a new method which is based on Improved homotopy perturbation method (IHPM) and applying accelerating parameters. This method is very simple and the result is obtained very fast.

A NEW MODIFIED HOMOTOPY PERTURBATION METHOD FOR SOLVING LINEAR SECOND-ORDER FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS Keywords:

Improved homotopy perturbation method , Laplace transform , Fredholm integro-differential equation

A NEW MODIFIED HOMOTOPY PERTURBATION METHOD FOR SOLVING LINEAR SECOND-ORDER FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS authors

M. Sotoodeh

Department of Applied Mathematics, Science and Research Branch, Islamic Azad University Iran, Islamic Republic of

M. A Fariborzi Araghi

Department of Applied Mathematics, Central Tehran Branch, Islamic Azad University Iran, Islamic Republic of