Numerical Solution of Second‐Order Fredholm Integrodifferential Equations with Boundary Conditions by Quadrature‐Difference Method

Chriscella Jalius and Zanariah Abdul Majid

Journal of Applied Mathematics, 2017, vol. 2017, issue 1

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.

Date: 2017
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https://doi.org/10.1155/2017/2645097

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2017:y:2017:i:1:n:2645097

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