Numerical Solution of Nonlinear Fredholm Integral Equations by Using NKM and ADM

M. M. Hasan, M. A. Matin

Abstract


In this paper, we present a numerical method to solve a non-linear Fredholm integral equations. We intend to approximate the solution of
this equation by Newton-Kantorovich-quadrature method and Adomian Decomposition method compare both the methods accurately for
solving the non-linear Fredholm integral equation.


Keywords


Non-linear Fredholm integral equation, Newton-Kantorovich method, Adomian Decomposition Method, He’s Polynomials, Approximate Solutions, and MATHEMATICA v9 software.

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Dhaka University Journal of Science ISSN 1022-2502 (Print) 2408-8528 (Online)