Three-Point Difference Schemes of High Order of Accuracy for the Sturm–Liouville Problem

For the Sturm–Liouville problem, we construct three-point difference schemes of high order of accuracy on a nonuniform grid. The proposed difference schemes for each node of the grid x j , j = 1,2,…, N − 1, require solving of two Cauchy problems for the second-order linear ordinary differential equa...

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Bibliographic Details
Published in:	Journal of mathematical sciences (New York, N.Y.) Vol. 273; no. 6; pp. 948 - 959
Main Authors:	Kunynets, A. V., Kutniv, M. V., Khomenko, N. V.
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 04.07.2023 Springer Springer Nature B.V
Subjects:	Accuracy Algorithms Basketball players Cauchy problems Differential equations Eigenvalues Mathematics Mathematics and Statistics Ordinary differential equations Runge-Kutta method Series expansion Sturm-Liouville theory Taylor series three-point difference scheme of any order of accuracy Sturm–Liouville problem exact three-point difference scheme Newton’s iterative method
ISSN:	1072-3374, 1573-8795
Online Access:	Get full text
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