THOMAS ALGORITHMS FOR SYSTEMS OF FOURTH-ORDER FINITE DIFFERENCE METHODS

Soyoon Bak; Philsu Kim; Sangbeom Park

doi:10.4134/JKMS.j210701

THOMAS ALGORITHMS FOR SYSTEMS OF FOURTH-ORDER FINITE DIFFERENCE METHODS

Soyoon Bak, Philsu Kim, Sangbeom Park

Kyungpook National University

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	891-909
Number of pages	19
Journal	Journal of the Korean Mathematical Society
Volume	59
Issue number	5
DOIs	https://doi.org/10.4134/JKMS.j210701
State	Published - Sep 2022

Keywords

boundary value problem
Finite difference method
inverse of tridiagonal matrix
Thomas algorithm

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10.4134/JKMS.j210701

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title = "THOMAS ALGORITHMS FOR SYSTEMS OF FOURTH-ORDER FINITE DIFFERENCE METHODS",

abstract = "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.",

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AU - Kim, Philsu

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N2 - 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.

AB - 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.

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KW - Finite difference method

KW - inverse of tridiagonal matrix

KW - Thomas algorithm

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JO - Journal of the Korean Mathematical Society

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ER -

THOMAS ALGORITHMS FOR SYSTEMS OF FOURTH-ORDER FINITE DIFFERENCE METHODS

Abstract

Keywords

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