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

Authors

  • M. M. Hasan
  • M. A. Matin

Keywords:

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

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.

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