A class Hermite pseudospectral approximate with \(\omega (x) \equiv 1\) and application to reaction-diffusion equation (Q993674)
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scientific article; zbMATH DE number 5788801
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A class Hermite pseudospectral approximate with \(\omega (x) \equiv 1\) and application to reaction-diffusion equation |
scientific article; zbMATH DE number 5788801 |
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A class Hermite pseudospectral approximate with \(\omega (x) \equiv 1\) and application to reaction-diffusion equation (English)
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20 September 2010
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As a continuation of a previous paper by the author, Hermite function system with \(\omega(x)\equiv 1\) is introduced, and the theoretical results of its pseudospectral approximation are given. Hermite pseudospectral method for a class of nonlinear reaction-diffusion equations is discussed, and the existence of the global attractor generated by the Hermite pseudospectral method is proven. The error of the approximate solution is estimated.
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Hermite pseudospectral method
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Hermite function system
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reaction-diffusion equation
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global attractor
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error estimate
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