Global solution of the generalized Abel integral equation by implicit interpolation

Brunner, H.

doi:10.1090/S0025-5718-1974-0331830-5

Global solution of the generalized Abel integral equation by implicit interpolation
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Math. Comp. 28 (1974), 61-67 Request permission

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.

References

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