Numerical Solution of Second-Order Fredholm Integrodifferential Equations with Boundary Conditions by Quadrature-Difference Method. (11th January 2017)

• Record Type: Journal Article
• Authors: Jalius, Chriscella; Abdul Majid, Zanariah
• Other Names: Sezer Mehmet Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2017(2017)
• Publication Date: 2017-01-11
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2017/2645097
• Languages: English
• ISSNs: 1110-757X

Abstract

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.