Polynomial spline approach for solving second-order boundary-value problems with Neumann conditions

DOI10.1016/j.amc.2011.01.047zbMath1213.65109OpenAlexW2159810175MaRDI QIDQ716084

Li-Bin Liu, Yanping Chen, Huan-Wen Liu

Publication date: 19 April 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.01.047

zbMATH Keywords

convergencenumerical resultsdifference schemehigh accuracyNeumann-type boundary conditionquartic splineNumerov's schemesecond-order boundary-value problem

Mathematics Subject Classification ID

Numerical computation using splines (65D07) 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)

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Cites Work

• B-spline solution of non-linear singular boundary value problems arising in physiology
• The extrapolation of Numerov's scheme for nonlinear two-point boundary value problems
• Polynomial and nonpolynomial spline approaches to the numerical solution of second order boundary value problems
• A semi-discretization method based on quartic splines for solving one-space-dimensional hyperbolic equations
• Some recent developments of Numerov's method
• A nonlinear shooting method for two-point boundary value problems
• Parametric cubic spline solution of two point boundary value problems
• Higher-order finite-difference methods for nonlinear second-order two-point boundary-value problems
• Finite difference methods for certain singular two-point boundary value problems
• B-spline interpolation compared with finite difference, finite element and finite volume methods which applied to two-point boundary value problems
• Cubic spline polynomial for non-linear singular two-point boundary value problems
• Nonlinear partial differential equations in engineering. Vol. II
• A quartic \(C^ 3\)-spline collocation method for solving second-order initial value problems
• A New Fourth Order Cubic Spline Method for Non-Linear Two-Point Boundary Value Problems
• Nonlinear elliptic boundary-value problems in unbounded domains
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