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

• Main Authors: Jalius, Chriscella, Abdul Majid, Zanariah
• Format: Article
• Language: English
• Published: Hindawi Publishing Corporation 2017
• Online Access: http://psasir.upm.edu.my/id/eprint/51887/1/51887.pdf; http://psasir.upm.edu.my/id/eprint/51887/; https://www.hindawi.com/journals/jam/2017/2645097/abs/

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.