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2017 Numerical Solution of Second-Order Fredholm Integrodifferential Equations with Boundary Conditions by Quadrature-Difference Method
Chriscella Jalius, Zanariah Abdul Majid
J. Appl. Math. 2017: 1-5 (2017). DOI: 10.1155/2017/2645097

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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Chriscella Jalius. Zanariah Abdul Majid. "Numerical Solution of Second-Order Fredholm Integrodifferential Equations with Boundary Conditions by Quadrature-Difference Method." J. Appl. Math. 2017 1 - 5, 2017. https://doi.org/10.1155/2017/2645097

Information

Received: 15 September 2016; Accepted: 8 December 2016; Published: 2017
First available in Project Euclid: 24 February 2017

zbMATH: 07037469
MathSciNet: MR3599834
Digital Object Identifier: 10.1155/2017/2645097

Rights: Copyright © 2017 Hindawi

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