J. Korean Math. Soc.
Published online August 1, 2022
Copyright © The Korean Mathematical Society.
Soyoon Bak, Philsu Kim, and Sangbeom Park
Kyungpook National University
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.
Keywords: finite difference method, inverse of tridiagonal matrix, Thomas algorithm, boundary value problem
MSC numbers: 65N06
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