Spline collocation methods for weakly singular Volterra integro-differential equations

I. Parts,A. Pedas

doi:10.1007/978-88-470-2089-4_83

Spline collocation methods for weakly singular Volterra integro-differential equations

I. Parts, A. Pedas

https://doi.org/10.1007/978-88-470-2089-4_83

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Publication Date: Jan 1, 2003

Citations: 6

Affiliation: University of Tartu

#Piecewise Polynomial Collocation Methods #Linear Volterra Integro-differential Equations + Show 8 more

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Abstract

Two piecewise polynomial collocation methods are constructed to solve linear Volterra integro-differential equations with weakly singular or other nonsmooth kernels. The attainable orders of convergence of the proposed methods are studied, theoretically and numerically.

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