On Discrete Superconvergence Properties of Spline Collocation Methods for Nonlinear Volterra Integral Equations
Year: 1992
Journal of Computational Mathematics, Vol. 10 (1992), Iss. 4 : pp. 348–357
Abstract
It is shown that the error corresponding to certain spline collocation approximations for nonlinear Volterra integral equations of the second kind is the solution of a nonlinearly perturbed linear Volterra integral equation. On the basis of this result it is possible to derive general estimates for the order of convergence of the spline solution at the underlying mesh points. Extensions of these techniques to other types of Volterra equations are indicated.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1992-JCM-9367
Journal of Computational Mathematics, Vol. 10 (1992), Iss. 4 : pp. 348–357
Published online: 1992-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10