An Effective Method for Solving the Nonlinear Fredholm Integral Equations


Authors: Mohamadreza Tamamgar
Page Range: 85-94
Published in: Chaos and Complexity Letters, 16#2
ISSN: 1556-3995

Table of Contents

In this paper, we combine the parametric iteration method (PIM) and pseudo spectral method and we call it pseudo spectral iteration method (PSPIM) and use it for the numerical solution of nonlinear Fredholm integral equations. The approximate solutions arise according to the auxiliary parameter h. The solution process is illustrated by some of examples. The results of PSPIM have compared with the exact solution for illustration of simplicity and efficiency of PSPIM. The convergence of this method has been provided.

Keywords: parametric iteration method, pseudo spectral method, nonlinear Fredholm integral equations

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