Approximations of hypersingular integral equations by the quadrature method (Q852470)
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scientific article; zbMATH DE number 5076745
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximations of hypersingular integral equations by the quadrature method |
scientific article; zbMATH DE number 5076745 |
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Approximations of hypersingular integral equations by the quadrature method (English)
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29 November 2006
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The authors consider the quadrature method for the solution of hypersingular integral equations of the first kind as \[ \int^b_a \frac{u(x)\,dx}{|x-t|^\lambda} = f(t), \quad 1< \lambda < 3. \] They prove the convergence of the method and given estimates of error.
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quadrature methods
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error estimates
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