Maximum norm contractivity in the numerical solution of the one-dimensional heat equation (Q1807704)
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scientific article; zbMATH DE number 1367794
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Maximum norm contractivity in the numerical solution of the one-dimensional heat equation |
scientific article; zbMATH DE number 1367794 |
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Maximum norm contractivity in the numerical solution of the one-dimensional heat equation (English)
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23 November 1999
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For an initial-boundary value problem of the one-dimensional heat conduction equation over a finite length interval, the author discusses a two-parameter method which reduces to a finite difference method for the value zero for one parameter and reduces to a finite element method with linear elements for the value of 1/6 for the other parameter. Some necessary and sufficient conditions related to the two-parameter method, are determined. Numerical examples are also presented.
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maximum norm contractivity
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heat equation
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numerical examples
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finite difference method
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finite element method
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0.9574698
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