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q-homotopy analysis method for solving nonlinear Fredholm integral equation of the second kind

Publish Year: 1400
Type: Journal paper
Language: English
View: 202

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Document National Code:

JR_IJNAA-12-2_164

Index date: 2 December 2022

q-homotopy analysis method for solving nonlinear Fredholm integral equation of the second kind abstract

Several scientific and engineering applications are usually described as integral equations. We propose a numerical approach for solving the type of Fredholm nonlinear boundary value problems in a finite domain. The paper aims to use the q-homotopy analysis method to estimate the solution to test the efficiency of the proposed method. Comparison with updated work is exacted. The obtained results show that the proposed method is very effective and convenient for nonlinear Fredholm integral equations. The interval of convergence of homotopy analysis method, if exists, is increased when using q-homotopy analysis method is more to converge. The result reveals that the q- homotopy analysis method is considered a good method for solving NFIES.

q-homotopy analysis method for solving nonlinear Fredholm integral equation of the second kind Keywords:

Nonlinear Integral equation , Fredholm Integral equation of the second kind , q-homotopy analysis method

q-homotopy analysis method for solving nonlinear Fredholm integral equation of the second kind authors

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Faculty of Mathematics and Computer Science, University of Kufa, Iraq

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Faculty of Mathematics and Computer Science, University of Kufa, Iraq