Matrix form of Legendre polynomials for solving linear integro-differential equations of high order

Citation

Kammuji, M. and Eshkuvatov, Zainidin K. and Mohd Yunus, Arif Asraf (2016) Matrix form of Legendre polynomials for solving linear integro-differential equations of high order. In: 4th International Conference on Mathematical Sciences (ICMS4), 15-17 Nov. 2016, Putrajaya, Malaysia. (pp. 1-9).

Abstract

This paper presents an effective approximate solution of high order of Fredholm-Volterra integro-differential equations (FVIDEs) with boundary condition. Legendre truncated series is used as a basis functions to estimate the unknown function. Matrix operation of Legendre polynomials is used to transform FVIDEs with boundary conditions into matrix equation of Fredholm-Volterra type. Gauss Legendre quadrature formula and collocation method are applied to transfer the matrix equation into system of linear algebraic equations. The latter equation is solved by Gauss elimination method. The accuracy and validity of this method are discussed by solving two numerical examples and comparisons with wavelet and methods.

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Additional Metadata

Item Type:	Conference or Workshop Item (Paper)
Divisions:	Institute for Mathematical Research
DOI Number:	https://doi.org/10.1063/1.4980919
Publisher:	AIP Publishing
Keywords:	High order of Fredholm-Volterra integro-differential equations; Boundary condition; Legendre polynomials
Depositing User:	Nabilah Mustapa
Date Deposited:	24 Oct 2017 08:15
Last Modified:	24 Oct 2017 08:15
Altmetrics:	http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4980919
URI:	http://psasir.upm.edu.my/id/eprint/57632
Statistic Details:	View Download Statistic

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