Numerical solution of second-order Fredholm integrodifferential equations with boundary conditions by quadrature-difference method

Citation

Jalius, Chriscella and Abdul Majid, Zanariah (2017) Numerical solution of second-order Fredholm integrodifferential equations with boundary conditions by quadrature-difference method. Journal of Applied Mathematics, 2017. art. no. 2645097. pp. 1-5. ISSN 1110-757X; ESSN: 1687-0042

Abstract

In this research, the quadrature-difference method with Gauss Elimination (GE) method is applied for solving the second-order of linear Fredholm integrodifferential equations (LFIDEs). In order to derive an approximation equation, the combinations of Composite Simpson’s 1/3 rule and second-order finite-difference method are used to discretize the second-order of LFIDEs. This approximation equation will be used to generate a system of linear algebraic equations and will be solved by using Gauss Elimination. In addition, the formulation and the implementation of the quadrature-difference method are explained in detail. Finally, some numerical experiments were carried out to examine the accuracy of the proposed method.

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Additional Metadata

Item Type:	Article
Divisions:	Institute for Mathematical Research
DOI Number:	https://doi.org/10.1155/2017/2645097
Publisher:	Hindawi Publishing Corporation
Keywords:	Second-order of linear Fredholm integrodifferential equations (LFIDEs); Integrodifferential equation; Quadrature-difference method
Depositing User:	Nabilah Mustapa
Date Deposited:	03 May 2017 04:09
Last Modified:	03 May 2017 04:09
Altmetrics:	http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2017/2645097
URI:	http://psasir.upm.edu.my/id/eprint/51887
Statistic Details:	View Download Statistic

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