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A numerical sinc method for systems of integro-differential equations. (English) Zbl 1205.65343

Summary: A sinc-collocation method is developed for solving systems of linear integro-differential equations of Fredholm and Volterra type with homogeneous boundary conditions. Some properties of the sinc procedure required for subsequent development are given and they are utilized to reduce the solution computation of systems of second-order boundary value integro-differential equations to some algebraic equations. The method is applied to a few test examples to illustrate the accuracy and the implementation of the method.

MSC:

65R20 Numerical methods for integral equations
45J05 Integro-ordinary differential equations
45F05 Systems of nonsingular linear integral equations
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