THOMAS ALGORITHMS FOR SYSTEMS OF FOURTH-ORDER FINITE DIFFERENCE METHODS

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초록

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.

키워드

Finite difference method; inverse of tridiagonal matrix; Thomas algorithm; boundary value problem
제목
THOMAS ALGORITHMS FOR SYSTEMS OF FOURTH-ORDER FINITE DIFFERENCE METHODS
저자
Bak, Soyoon; Kim, Philsu; Park, Sangbeom
DOI
10.4134/JKMS.j210701
발행일
2022-09
유형
Article
저널명
대한수학회지
권
59
호
5
페이지
891 ~ 909