Second order Jacobi approximation with applications to fourth-order differential equations

被引：20
|
作者：
Guo, BY [1 ]
Wang, ZQ
Wan, ZS
Chu, DL
机构：
[1] Shanghai Normal Univ, Dept Math, Div Comp Sci, E Inst, Shanghai 200234, Peoples R China
[2] Shanghai Univ, Dept Math, Shanghai 200436, Peoples R China
[3] Natl Univ Singapore, Dept Math, Singapore 117543, Singapore
来源：
APPLIED NUMERICAL MATHEMATICS | 2005年 / 55卷 / 04期
关键词：
second order Jacobi approximation; spectral method for fourth-order problems; convergence; numerical results;
D O I：
10.1016/j.apnum.2005.01.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Second order Jacobi approximation in non-uniformly weighted Sobolev space is investigated. Some approximation results on various orthogonal projections are established, which serve as the mathematical foundation of Jacobi spectral methods for differential equations of fourth order. Jacobi spectral schemes are provided for several model problems. The convergence is proved. Numerical results agree well with theoretical analysis and show the efficiency of this new approach. (c) 2005 IMACS. Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：480 / 502
页数：23
相关论文
共 50 条
12345