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

页码：891 / 909

页数：19

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