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Collocation Method for Singular Integral Equations on Holder Spaces

✍ Scribed by Ulrich Schmid

Publisher
John Wiley and Sons
Year
1995
Tongue
English
Weight
405 KB
Volume
174
Category
Article
ISSN
0025-584X

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✦ Synopsis

The classical polynomial collocation method is considered for a class of Cauchy singular integral equations with variable coefficients on a bounded interval. This method is naturally extended to the case of a non-zero index of the underlying Fredholm operator. This is done by using the structure of the kernel and a complement of the image of this operator. For the extended method we directly obtain error bounds in the norm of the weighted Holder spaces. As an illustration, some numerical results are given.

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