| 非线性双曲型方程的拟谱方法 |
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| 引用本文： | 任宗修 孟燕玲. 非线性双曲型方程的拟谱方法[J]. 河南师范大学学报(自然科学版), 1995, 23(2): 13-16 |
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| 作者姓名： | 任宗修 孟燕玲 |
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| 作者单位： | 河南师范大学数学系，新乡职工大学 |
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| 摘 要： | 本文讨论一类非线性双曲型方程的拟谱方法，构造了半离散和全离散的Ｆｏｕｒｉｅｒ拟谱格式并得到了最优误差估计。本文介绍的方法在计算时不需要数值积分并可应用快速Ｆｏｕｒｉｅｒ变换，减少计算量，如果原微分方程的解无限可微，则近惟解具有无穷阶收敛性。
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| 关 键 词： | 拟谱方法 双曲型方程 误差估计 非线性 |
Pseudospectral Method for Nonlinear Hyperbolic Equations |
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| Ren Zongxiu Meng Yanling. Pseudospectral Method for Nonlinear Hyperbolic Equations[J]. Journal of Henan Normal University(Natural Science), 1995, 23(2): 13-16 |
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| Authors: | Ren Zongxiu Meng Yanling |
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| Abstract: | Pseudospectral method for a class of nonlinear hyperbolic equations is discussed inthis paper,It has constructed the semidiscretc and fully diserete Fourier Pseudospectral schemes and ob-tained the optimum error estimates. The method of introduetion in the paper doesn't need numerial integration and can applies fast fou-rier transformation to reduces coniputation,If the solution of original equation is infinite differentiable,then the solution of approximation has infinite ordinal convergence. |
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| Keywords: | pseudospectral method hyperbolic equation error estimates |
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