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THOMAS ALGORITHMS FOR SYSTEMS OF FOURTH-ORDER FINITE DIFFERENCE METHODS
- Bak, Soyoon;
- Kim, Philsu;
- Park, Sangbeom
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1초록
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
- 발행일
- 2022-09
- 유형
- Article
- 저널명
- 대한수학회지
- 권
- 59
- 호
- 5
- 페이지
- 891 ~ 909
- 언어
- ENG
- 출판사
- KOREAN MATHEMATICAL SOC
- 발행국가
- 대한민국
- 분량
- 19 페이지
- ISSN
- E 2234-3008
P 0304-9914