TLM for diffusion: The artefact of the standard initial conditions and its elimination within an abstract TLM suite (Q2722636)
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scientific article; zbMATH DE number 1613247
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | TLM for diffusion: The artefact of the standard initial conditions and its elimination within an abstract TLM suite |
scientific article; zbMATH DE number 1613247 |
Statements
15 July 2002
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time step
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error elimination
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numerical examples
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transmission line matrix modeling algorithm
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diffusion equation
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TLM for diffusion: The artefact of the standard initial conditions and its elimination within an abstract TLM suite (English)
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The authors show analytically and numerically that for the transmission line matrix (TLM) modeling algorithm for numerical solving the diffusion equation the usual initial conditions for the incident voltage pulses in term of the initial concentration introduce a significant numerical error. It is shown, that this error can be eliminated by combination of the link-line and link-resistor schemes. The theoretical consideration are supported by numerical illustrations.
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