High-order difference schemes based on new Marchuk integral identities for one-dimensional interface problems

DOI10.1515/1569395054068982zbMath1071.65109OpenAlexW1995082625MaRDI QIDQ4675849

Ivanka Tr. Angelova, Lubin G. Vulkov

Publication date: 6 May 2005

Published in: Journal of Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/1569395054068982

zbMATH Keywords

numerical experimentsfinite difference methodsreaction-diffusion equationtwo-point boundary value problemsLobatto pointsconvergence of discontinuous problemsMarchuk identity

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05) Finite difference and finite volume methods for ordinary differential equations (65L12)

Cites Work

• A High-Order Difference Method for Differential Equations
• Compact High-Order Finite Differences for Interface Problems in One Dimension
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