Piecewise Polynomial Approximations for Linear Volterra Integro-Differential Equations with Nonsmooth Kernels

Arvet Pedas ()
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Arvet Pedas: University of Tartu, Institute of Applied Mathematics

A chapter in Numerical Mathematics and Advanced Applications, 2004, pp 677-686 from Springer

Abstract: Summary The piecewise polynomial collocation method is discussed to solve linear Volterra-Basset integro-differential equations with weakly singular or other nonsmooth kernels. Using special graded grids, global convergence estimates are derived. The error analysis is based on certain regularity properties of the solution of the initial value problem.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-18775-9_66

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DOI: 10.1007/978-3-642-18775-9_66

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