Improving the convergence order of the regularization method for Fredholm integral equations of the second kind

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摘要

We build a numerical approximation method, for Fredholm integral equation solution of the second type. This method is based on the regularization by convolution and Fourier series expansion. It provides a better convergence order.

论文关键词:Integral equation,Weak singularity,Convolution,Fourier series

论文评审过程:Received 24 June 2015, Revised 2 April 2016, Accepted 11 May 2016, Available online 28 May 2016, Version of Record 28 May 2016.

论文官网地址:https://doi.org/10.1016/j.amc.2016.05.018