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

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  • Chriscella Jalius
  • Zanariah Abdul Majid

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.

Suggested Citation

  • Chriscella Jalius & Zanariah Abdul Majid, 2017. "Numerical Solution of Second-Order Fredholm Integrodifferential Equations with Boundary Conditions by Quadrature-Difference Method," Journal of Applied Mathematics, Hindawi, vol. 2017, pages 1-5, January.
    • Handle: RePEc:hin:jnljam:2645097
    DOI: 10.1155/2017/2645097
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