| A Class Hermite Pseudospectral Approximate with ω（x） ≡1 and Application to Reaction-diffusion Equation |
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| 作者姓名： | Xin-min Xiang |
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| 作者单位： | School of Mathematics and Sciences, Shanghai Normal University, Shanghai 200234, China |
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| 基金项目： | Supported by the National Natural Sciences Foundation of China （No. 10771142） and （No. 10671130）. |
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| 摘 要： | In this paper, we continue the discussion of [12] to establish the Hermite pseudospectral method with weight ω（x） = 1. As an application, we consider the pseudospectral approximation of the reaction-diffusion equation on the whole line, we prove the existence of the approximate attractor and give the error estimate for the approximate solution.
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| 关 键 词： | 反应扩散方程 Hermite 应用 拟谱 近似吸引子 误差估计 谱逼近 近似解 |
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