Stability inequalities for discrete nonlinear two-point boundary value problems

DOI10.1080/00036818008839296zbMath0445.65078OpenAlexW2062571622WikidataQ58185498 ScholiaQ58185498MaRDI QIDQ3890053

Henning Esser

Publication date: 1980

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036818008839296

zbMATH Keywords

convergencenumerical examplesnonlinear two-point boundary value problemsstability inequalitiesestimates of the difference quotients

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (12)

Convergence of Discrete Green's Functions for Finite Difference Schemes ⋮ Computational methods for discrete boundary value problems ⋮ Einige Stabilitätsungleichungen für gewöhnliche Differenzengleichungen in nichtkompakter Form. (Some stability inequalities for ordinary difference equations in noncompact form) ⋮ Numerical methods for eighth-, tenth- and twelfth-order eigenvalue problems arising in thermal instability ⋮ On boundary value problems for second order discrete systems ⋮ Die gleichmäßige Stabilität singulär gestörter diskreter und kontinuierlicher Randwertprobleme ⋮ Arbitrary order fractional difference operators with discrete exponential kernels and applications ⋮ Nichtäquidistante Diskretisierungen von Randwertaufgaben ⋮ Finite-difference methods for the solution of special eighth-order boundary-value problems ⋮ Differenzenapproximationen von integro-differentialgleichungen einer veräderlichen ⋮ Unnamed Item ⋮ A new shooting method for multi-point discrete boundary value problems

Cites Work

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• Stabilitätsungleichungen für Diskretisierungen von Randwertaufgaben gewöhnlicher Differentialgleichungen
• Zur Stabilität von Differenzenverfahren für Systeme linearer gewöhnlicher Randwertaufgaben
• Die Konvergenz des Rand- und Eigenwertproblems linearer gewöhnlicher Differenzengleichungen
• Finite Difference Collocation Methods for Nonlinear Two Point Boundary Value Problems
• Difference Methods for Boundary Value Problems in Ordinary Differential Equations
• Difference Methods and Deferred Corrections for Ordinary Boundary Value Problems

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