THOMAS ALGORITHMS FOR SYSTEMS OF FOURTH-ORDER FINITE DIFFERENCE METHODS

被引：1
作者：
Bak, Soyoon [1 ]
Kim, Philsu [1 ]
Park, Sangbeom [1 ]
机构：
[1] Kyungpook Natl Univ, Dept Math, Daegu 41566, South Korea
来源：
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2022年 / 59卷 / 05期
基金：
新加坡国家研究基金会;
关键词：
Finite difference method; inverse of tridiagonal matrix; Thomas algorithm; boundary value problem;
D O I：
10.4134/JKMS.j210701
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The main objective of this paper is to develop a concrete inverse formula of the system induced by the fourth-order finite difference method for two-point boundary value problems with Robin boundary conditions. This inverse formula facilitates to make a fast algorithm for solving the problems. Our numerical results show the efficiency and accuracy of the proposed method, which is implemented by the Thomas algorithm.
引用
收藏
页码：891 / 909
页数：19
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