Padé extension of Bergman-series solutions to nonlinear boundary-value problems in heat conduction (Q1071600)
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scientific article; zbMATH DE number 3940985
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Padé extension of Bergman-series solutions to nonlinear boundary-value problems in heat conduction |
scientific article; zbMATH DE number 3940985 |
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Padé extension of Bergman-series solutions to nonlinear boundary-value problems in heat conduction (English)
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1986
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Bergman-type series solutions involving iterated complementary error integrals are constructed for nonlinear boundary-value problems associated with heat conduction in a region bounded internally by a cylindrical or spherical surface. In particular, a small-time solution is developed when the nonlinear boundary condition is of the Stefan- Boltzmann type. This solution is extended via Padé approximants.
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Bergman-type series solutions
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iterated complementary error integrals
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nonlinear boundary-value problems
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heat conduction
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region bounded internally by a cylindrical or spherical surface
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small-time solution
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nonlinear boundary condition
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Stefan-Boltzmann type
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