Numerical solution of the heat equation with nonlocal boundary conditions (Q1807770)
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scientific article; zbMATH DE number 1367871
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Numerical solution of the heat equation with nonlocal boundary conditions |
scientific article; zbMATH DE number 1367871 |
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Numerical solution of the heat equation with nonlocal boundary conditions (English)
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19 December 1999
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The author considers the \(\theta\)-method for the heat equation with nonlocal boundary conditions and proves stability for \(\theta\geq{1\over 2}\) under certain conditions. He presents three algorithms for solving the linear equations, comparing their efficiency for a simple numerical example.
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heat equation
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nonlocal boundary conditions
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\(\theta\)-method
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stability
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efficiency
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algorithms
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numerical example
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