A variable time-step-size code for advection-diffusion-reaction PDEs (Q450907)
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scientific article; zbMATH DE number 6086872
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A variable time-step-size code for advection-diffusion-reaction PDEs |
scientific article; zbMATH DE number 6086872 |
Statements
A variable time-step-size code for advection-diffusion-reaction PDEs (English)
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26 September 2012
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An adaptive method for the time integration of initial value problems in ordinary differential equations resulting from the spatial discretization of 2D or 3D PDEs of advection-diffusion-reaction type is developed. The spatial discretization is made by means of finite difference schemes and the time integration relies on the two stage Radau IIA method. Some stability results and a local error estimate are derived. The method is applied to four standard problems and the scheme is compared with already existing solvers.
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advection-diffusion-reaction equation
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finite difference
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Runge-Kutta Radau IIA method
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stability
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local error estimate
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semidiscretization
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single-Newton iteration
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approximate matrix factorization
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embedded pairs
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radiation-diffusion problems
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initial value problems
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