WITHDRAWN: Legendre–Gauss–Lobatto collocation method for solving multi-dimensional Fredholm integral equations

A.H Bhrawy,M.A Abdelkawy,J Tenreiro Machado,A.Z.M Amin

doi:10.1016/j.camwa.2016.04.011

WITHDRAWN: Legendre–Gauss–Lobatto collocation method for solving multi-dimensional Fredholm integral equations

A.H Bhrawy, M.A Abdelkawy + Show 2 more

https://doi.org/10.1016/j.camwa.2016.04.011

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Journal: Computers & mathematics with applications (Oxford, England : 1987)	Publication Date: Apr 1, 2016
Citations: 22

Affiliation: Beni-Suef University, Imam Mohammad ibn Saud Islamic University, Polytechnic Institute of Porto

#Dimensional Fredholm Integral Equations #Fredholm Integral Equations + Show 8 more

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Abstract

Abstract This paper reports a new spectral collocation technique for solving second kind Fredholm integral equations (FIEs). We develop a collocation scheme to approximate FIEs by means of the shifted Legendre–Gauss–Lobatto collocation (SL–GL-C) method. Moreover, we adapt the SL–GL-C algorithm to solve one dimensional second kind FIEs and system of FIEs. Two numerical algorithms are also investigated to solve the two dimensional FIEs. Extensive numerical tests illustrate the capability and high accuracy of the proposed methodologies.

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