Numerical solution of linear Fredholm integral equation by using hybrid Taylor and Block-Pulse functions

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摘要

In this paper, we use a combination of Taylor and Block-Pulse functions on the interval [0,1], that is called Hybrid functions, to estimate the solution of a linear Fredholm integral equation of the second kind. We convert the integral equation to a system of linear equations, and by using numerical examples we show our estimation have a good degree of accuracy.

论文关键词:Block-Pulse functions,Fredholm integral equation,Operational matrix,Product operation,Taylor polynomials

论文评审过程:Available online 10 April 2003.

论文官网地址:https://doi.org/10.1016/S0096-3003(03)00180-2