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Zbl 1201.65138
Zarebnia, M.; Abadi, M.G.Ali
Numerical solution of system of nonlinear second-order integro-differential equations. (English)
[J] Comput. Math. Appl. 60, No. 3, 591-601 (2010). ISSN 0898-1221

Summary: Numerical solution of a system of nonlinear second-order integro-differential equations with boundary conditions of the Fredholm and Volterra types by means of the Sinc-collocation method is considered. The method is effective for approximation in the case of the presence of end-point singularities. Properties of the Sinc-collocation method required for our subsequent development are given and utilized to reduce the computation of boundary value problems to some algebraic equations. The method is applied to a few test examples to illustrate the accuracy and the implementation of the method.

MSC 2000:: *65L60 Finite numerical methods for ODE
45J05 Integro-ordinary differential equations

Keywords: boundary value problems; second-order; nonlinear integro-differential; equations system; collocation method; sinc functions; Fredholm; Volterra

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Zentralblatt MATH Berlin [Germany]