Integro-differential models: A program code (Q2718089)
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scientific article; zbMATH DE number 1606302
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Integro-differential models: A program code |
scientific article; zbMATH DE number 1606302 |
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28 May 2002
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singular integro-differential equation
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Cauchy singular kernel
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weakly singular perturbation kernels
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Matlab program code
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Prandtl equation
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convergence
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numerical results
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0.84667856
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0.84197927
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0.83697176
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Integro-differential models: A program code (English)
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Numerical methods for solving integro-differential equations with Cauchy singular kernel and weakly singular perturbation kernels are proposed. These equations are generalizations of the general monoplane equation (Prandtl equation). A numerical scheme is constructed, three convergence conditions and numerical results are presented. Some parts of the ``flexible and reliable'' Matlab program code are given. NEWLINENEWLINENEWLINEReviewer's remark: Descriptions and theoretical grounds of various numerical methods for solving singular integro-differential equations are contained in the book of \textit{B. G. Gabdulkhaev} [Direct methods for solving the singular integral equations of the first kind. Kazan (1994) (in Russian)].
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