Accelerated monotone iterative methods for a boundary value problem of second-order discrete equations

DOI10.1016/S0898-1221(99)00335-1zbMath0954.65063MaRDI QIDQ1570126

Yuan-Ming Wang

Publication date: 9 July 2000

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

convergencecomparison of methodsnumerical resultsfinite difference methoditerative schemenonlinearboundary value problemPicard's methodmethod of upper and lower solutionsNumerov methodsecond-order discrete equations

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) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (4)

The extrapolation of Numerov's scheme for nonlinear two-point boundary value problems ⋮ Numerov's method for strongly nonlinear two-point boundary value problems. ⋮ Parallel monotone iterative relaxation methods for a class of two-dimensional discrete boundary value problems ⋮ Some recent developments of Numerov's method

Cites Work

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• Monotone methods for a discrete boundary problem
• On multipoint boundary value problems for discrete equations
• On the numerical solution of two point discrete boundary value problems
• Monotone methods for a boundary value problem of second-order discrete equation
• Montone enclosure for a class of discrete boundary value problems without monotone nonlinearities
• On discrete boundary value problems arising in transport phenomena
• Monotone iterative methods for a general class of discrete boundary value problem
• On boundary value problems for second order discrete systems

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