Solving integral equations by reconstructing in isomorphic Taylor coefficient spaces (Q1287173)
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scientific article; zbMATH DE number 1282705
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Solving integral equations by reconstructing in isomorphic Taylor coefficient spaces |
scientific article; zbMATH DE number 1282705 |
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Solving integral equations by reconstructing in isomorphic Taylor coefficient spaces (English)
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2 November 1999
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A new method based on Taylor series components is presented for numerically solving integral equations. The considered procedure solves a system of integral equations by constructing a set of mathematically linked Taylor series coefficients for all the functions that are involved in the equation system. As an illustration solutions are shown for the following problem: the first boundary value problem of the biharmonic equation, the nonlinear Klein-Gordon equation and shape-from-shading viscosity problems.
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boundary element method
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system of integral equations
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Taylor series
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biharmonic equation
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nonlinear Klein-Gordon equation
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shape-from-shading viscosity problems
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