[1]蔡耀雄,庄清渠.全直线上四阶方程的Laguerre-Laguerre复合谱逼近[J].华侨大学学报(自然科学版),2021,42(2):275-280.[doi:10.11830/ISSN.1000-5013.202009051]
　CAI Yaoxiong,ZHUANG Qingqu.Composite Laguerre-Laguerre Spectral Method for Fourth-Order Equation on Whole Line[J].Journal of Huaqiao University(Natural Science),2021,42(2):275-280.[doi:10.11830/ISSN.1000-5013.202009051]
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全直线上四阶方程的Laguerre-Laguerre复合谱逼近()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第42卷
期数:
2021年第2期
页码:
275-280
栏目:
出版日期:
2021-03-20

文章信息/Info

Title:
Composite Laguerre-Laguerre Spectral Method for Fourth-Order Equation on Whole Line
文章编号:
1000-5013(2021)02-0275-06
作者:
蔡耀雄;  庄清渠
华侨大学 数学科学学院, 福建 泉州362021
Author(s):
CAI Yaoxiong;  ZHUANG Qingqu
School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China
关键词:
四阶方程;  全直线;  Laguerre-Laguerre复合谱方法;  数值结果
Keywords:
fourth-order equation;  whole line;  composite Laguerre-Laguerre spectral method;  numerical result
分类号:
O241.8
DOI:
10.11830/ISSN.1000-5013.202009051
文献标志码:
A
摘要:
对全直线上的四阶方程提出Laguerre-Laguerre复合谱方法进行求解.通过构造恰当的基函数保证交面的连续性,并用数值算例说明该方法的高精度.通过与纯Hermite谱方法进行数值结果比较,结果表明:该方法具有有效性.
Abstract:
A composite Laguerre-Laguerre spectral method is proposed to solve the fourth-order equation on the whole line. The continuity between the elemental-faces is imposed by constructing appropriate basis functions. Numerical examples show the high accuracy of the method. The numerical results are compared with pure Hermite spectral method, and which results show that the method is effective.

参考文献/References:

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相似文献/References:

[1]李敏,庄清渠.半无界条状区域四阶方程的Laguerre-Legendre混合谱逼近[J].华侨大学学报(自然科学版),2013,34(4):471.[doi:10.11830/ISSN.1000-5013.2013.04.0471]
　LI Min,ZHUANG Qing-qu.Mixed Laguerre-Legendre Spectral Approximation of the Fourth-Order Equations in a Semi-Infinite Channel[J].Journal of Huaqiao University(Natural Science),2013,34(2):471.[doi:10.11830/ISSN.1000-5013.2013.04.0471]

备注/Memo

备注/Memo:
收稿日期: 2020-09-27
通信作者: 蔡耀雄(1979-),男,讲师,主要从事偏微分方程数值解的研究.E-mail:cai_yx@126.com.
基金项目: 国家自然科学基金资助项目(11501224, 11771083)
更新日期/Last Update: 2021-03-20