An adaptive spline wavelet ADI(SW-ADI) method for two-dimensional reaction-diffusion equations (Q1384508)
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scientific article; zbMATH DE number 1140523
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An adaptive spline wavelet ADI(SW-ADI) method for two-dimensional reaction-diffusion equations |
scientific article; zbMATH DE number 1140523 |
Statements
An adaptive spline wavelet ADI(SW-ADI) method for two-dimensional reaction-diffusion equations (English)
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4 August 1998
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A wavelet-based ADI method for 2D unsteady reaction-diffusion equation is described. Cubic and quintic wavelet approximations to functions and their derivatives with emphasize on boundary wavelets are outlined. A fast wavelet transform, data structure and adaptive procedure are discussed. As a time stepping method, the ADI technique is considered. Numerical results showing nearly second-order accuracy are presented.
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reaction-diffusion equations
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wavelets
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alternative directions method
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adaptive spline wavelet method
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numerical examples
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fast wavelet transform
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time stepping method
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