Numerical Solution of Second-Order Fredholm Integrodifferential Equations with Boundary Conditions by Quadrature-Difference Method
Keyword(s):
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.
2019 ◽
Vol 35
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pp. 1383-1395
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2018 ◽
Vol 56
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pp. 766-791
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2017 ◽
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pp. 128-139
2011 ◽
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pp. 779-794
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2018 ◽
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pp. 6252-6269
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2014 ◽
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pp. 1350060
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2018 ◽