Global solution of the generalized Abel integral equation by implicit interpolation-Reference-Cited by-同舟云学术

Global solution of the generalized Abel integral equation by implicit interpolation

Published:1974 Issue:125 Volume:28 Page:61-67
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Brunner H.

Abstract

The construction of a (global) approximate solution for a given generalized Abel integral equation may be viewed as a problem of (implicit) interpolation in a prescribed linear space. In this paper, piecewise polynomials (extended spline functions) of a given degree and of class C are used to generate such an approximating function. Results on convergence and error bounds are given, and the practical application of this method is illustrated by a numerical example.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1974-28-125/S0025-5718-1974-0331830-5/S0025-5718-1974-0331830-5.pdf

Reference8 articles.

1. M. Bôcher, An Introduction to the Study of Integral Equations, 2nd ed., Cambridge Univ. Press, London, 1914.

2. H. Brunner, "The numerical solution of the generalized Abel integral equation by piecewise polynomials," Notices Amer. Math. Soc., v. 19, 1972, p. A-662. (Abstract)

3. Curve fitting with piecewise polynomials;Cox, M. G.;J. Inst. Math. Appl.,1971

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