Alternating band Crank-Nicolson method for \(\partial u/\partial t=\partial^ 2 u/\partial x^ 2+ \partial^ 2 u/\partial y^ 2\) (Q1319139)
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scientific article; zbMATH DE number 549487
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Alternating band Crank-Nicolson method for \(\partial u/\partial t=\partial^ 2 u/\partial x^ 2+ \partial^ 2 u/\partial y^ 2\) |
scientific article; zbMATH DE number 549487 |
Statements
Alternating band Crank-Nicolson method for \(\partial u/\partial t=\partial^ 2 u/\partial x^ 2+ \partial^ 2 u/\partial y^ 2\) (English)
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3 May 1994
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A version of the Crank-Nicolson method for 2-D diffusion equation is described. The rectangular computational domain is subdivided into bands for which different stencils are used to allow independent computation. Truncation errors and stability are discussed. Numerical examples are presented.
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error bounds
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finite differences
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alternating band method
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numerical examples
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Crank-Nicolson method
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diffusion equation
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stability
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