The application of collocation method and spline functions to linear and non-linear problems of non-stationary heat conduction (Q761782)
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scientific article; zbMATH DE number 3888857
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The application of collocation method and spline functions to linear and non-linear problems of non-stationary heat conduction |
scientific article; zbMATH DE number 3888857 |
Statements
The application of collocation method and spline functions to linear and non-linear problems of non-stationary heat conduction (English)
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1984
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A collocation method for heat conduction problems is described using cubic or bicubic spline functions in space for one- and two-dimensional problems, resp. Discretization in time is achieved for the latter by a strategy similar to the ADI-scheme. Numerical tests are reported including examples from continuous steel casting and a Stefan problem connected with the solidification of alloys.
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cubic splines
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collocation method
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heat conduction
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bicubic spline
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ADI- scheme
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Numerical tests
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steel casting
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Stefan problem
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solidification of alloys
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