In some recent works we proposed a collocation method by deficient splines to approximate the solution of Neutral Delay Differential Equations and Volterra Delay Integral Equations. In this work we extend that method to integro-differential equations. The existence and uniqueness of the numerical solution is proved. Consistency and convergence of this method are studied.

On the convergence of collocation spline methods for integral delay problems.

CALIO', FRANCA;MARCHETTI, ELENA MARIA;PAVANI, RAFFAELLA
2004

Abstract

In some recent works we proposed a collocation method by deficient splines to approximate the solution of Neutral Delay Differential Equations and Volterra Delay Integral Equations. In this work we extend that method to integro-differential equations. The existence and uniqueness of the numerical solution is proved. Consistency and convergence of this method are studied.
Integral delay problems; spline collocation methods
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11311/564941
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