Three-point difference schemes of high order of accuracy for the Sturm-Liouville problem

DOI10.1007/S10958-023-06556-1zbMath1522.65124OpenAlexW4384155994MaRDI QIDQ6175479

N. V. Khomenko, M. V. Kutniv, A. V. Kunynets

Publication date: 18 August 2023

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-023-06556-1

zbMATH Keywords

Sturm-Liouville problemNewton's iterative methodexact three-point difference schemethree-point difference scheme of any order of accuracy

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Cites Work

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• Exact and truncated difference schemes for boundary value ODEs
• Algorithmic realization of an exact three-point difference scheme for the Sturm-Liouville problem
• Solving Ordinary Differential Equations I
• Homogeneous difference schemes
• High-accuracy homogeneous difference schemes for the Sturm-Liouville problem
• Accurate three-point difference schemes for second-order nonlinear ordinary differential equations and their implementation
• Accurate three-point difference schemes for second-order monotone ordinary differential equations and their implementation

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