An application of the generalized alternating polynomials to the numerical solution of Fredholm integral equations (Q1315225)
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scientific article; zbMATH DE number 510218
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An application of the generalized alternating polynomials to the numerical solution of Fredholm integral equations |
scientific article; zbMATH DE number 510218 |
Statements
An application of the generalized alternating polynomials to the numerical solution of Fredholm integral equations (English)
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7 July 1994
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The paper deals with the approximation to the solution of linear Fredholm integral equations of the second kind by generalized alternating polynomials, which have been introduced by the author [IMA J. Numer. Anal. 6, 125-136 (1986; Zbl 0597.41006)]. The proposed method may be considered as an economized (in the sense of Lanczos) collocation method. The author states a convergence result and discusses estimators of the approximation error.
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error estimates
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linear Fredholm integral equations of the second kind
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generalized alternating polynomials
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collocation method
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convergence
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0.89613694
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0.8957676
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0.89293706
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0.8927052
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0.8886707
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0.8862076
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0.88598734
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