Numerical solution of Volterra type integral equation of the first kind with wavelet basis

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摘要

Volterra type integral equations are appeared in many engineering fields, so that, we select Volterra integral equation of the first kind and wavelets as basis functions to estimate a solution for this kind of equations. In this procedure, we use collocation method as a projection method to convert integral equation to the system of linear equations. Finally, some numerical examples indicate the accuracy of this method.

论文关键词:Volterra integral equation of the first kind,Collocation method,Wavelet approximation,Haar wavelet

论文评审过程:Available online 19 April 2007.

论文官网地址:https://doi.org/10.1016/j.amc.2007.04.031