Numerical solution of nonlinear Fredholm integral equations of the second kind using Haar wavelets

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摘要

In this work, we present a computational method for solving nonlinear Fredholm integral equations of the second kind which is based on the use of Haar wavelets. Error analysis is worked out that shows efficiency of the method. Finally, we also give some numerical examples.

论文关键词:Nonlinear Fredholm integral equation,Haar wavelet,Error analysis,Haar coefficient matrix,Block-pulse function,Collocation points

论文评审过程:Received 28 December 2007, Revised 4 June 2008, Available online 6 July 2008.

论文官网地址:https://doi.org/10.1016/j.cam.2008.07.003