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多维广义SRLW方程的Chebyshev拟谱方法分析

尚亚东 郭柏灵

尚亚东, 郭柏灵. 多维广义SRLW方程的Chebyshev拟谱方法分析[J]. 应用数学和力学, 2003, 24(10): 1035-1048.
引用本文: 尚亚东, 郭柏灵. 多维广义SRLW方程的Chebyshev拟谱方法分析[J]. 应用数学和力学, 2003, 24(10): 1035-1048.
SHANG Ya-dong, GUO Bo-ling. Analysis of Chebyshev Pseudospectral Method for Multi-Dimensional Generalized SRLW Equations[J]. Applied Mathematics and Mechanics, 2003, 24(10): 1035-1048.
Citation: SHANG Ya-dong, GUO Bo-ling. Analysis of Chebyshev Pseudospectral Method for Multi-Dimensional Generalized SRLW Equations[J]. Applied Mathematics and Mechanics, 2003, 24(10): 1035-1048.

多维广义SRLW方程的Chebyshev拟谱方法分析

基金项目: 国家自然科学基金资助项目(10271034)
详细信息
    作者简介:

    尚亚东(1963- ),男,陕西周至人,副教授,博士(E-mail:ydshang@263.net);郭柏灵(1936- ),男,研究员,博士生导师,中科院院士(E-mail:gbl@mail.iapcm.an.cn).

  • 中图分类号: O241

Analysis of Chebyshev Pseudospectral Method for Multi-Dimensional Generalized SRLW Equations

  • 摘要: 考虑了一类多维的广义对称正则长波(SRLW)方程的齐次初边值问题Chebyshev拟谱逼近,构造了全离散的Chebyshev拟谱格式,给出了这种格式近似解的收敛性和最优误差估计。
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    [5] CHEI Lin. Stability and instability of solitary waves for generalized symmetric regularized long wave equations[J]. Physica D, 1998,118(1/2): 53-68.
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    [7] 郑家栋,张汝芬,郭本瑜.SRLW方程的Fourier拟谱方法[J].应用数学和力学,1989,10(9):801-810.
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    [9] GUO Bo-ling. The existence of global solutions and"blow up"phenomena for a system of multidimensional symmetric regularized wave equations [J]. Acta Math Appl Sinica, 1992,8(1): 59-72.
    [10] 尚亚东,李志深.解高维广义对称正则长波方程组的Fourier谱方法[J].高等学校计算数学学报.1999,21(1) :48-60.
    [11] MA He-ping, GUO Ben-yu. The Chebyshev spectral methods for Burgers-like equations[J]. J Comput Math, 1988,6(1): 51-56.
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    [15] GUO Ben-yu. Spectral Methods and Their Applications [M].Singapore: World Scientific,1998.
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  • 被引次数: 0
出版历程
  • 收稿日期:  2001-11-27
  • 修回日期:  2003-05-16
  • 刊出日期:  2003-10-15

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