Exponential spline solutions for a class of two point boundary value problems over a semi-infinite range

DOI10.1007/S11075-009-9298-8zbMath1180.65095OpenAlexW1982248217MaRDI QIDQ1047170

Waheed K. Zahra

Publication date: 4 January 2010

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-009-9298-8

zbMATH Keywords

convergencenumerical exampleserror boundsfinite difference methodsexponential splinemonotone matricestwo-point boundary value problem over semi-infinite range

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) Error bounds for numerical methods for ordinary differential equations (65L70) Linear boundary value problems for ordinary differential equations (34B05) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (4)

Finite-difference technique based on exponential splines for the solution of obstacle problems ⋮ An exponential spline difference scheme for solving a class of boundary value problems of second-order ordinary differential equations ⋮ Rational spline-nonstandard finite difference scheme for the solution of time-fractional Swift-Hohenberg equation ⋮ Quintic hyperbolic nonpolynomial spline and finite difference method for nonlinear second order differential equations and its application

Cites Work

• Polynomial and nonpolynomial spline approaches to the numerical solution of second order boundary value problems
• A finite difference method for a class of two-point boundary value problems over a semi-infinite range
• High order discrete method for a class of two-point boundary value problems with periodic boundary conditions
• B-spline interpolation compared with finite difference, finite element and finite volume methods which applied to two-point boundary value problems
• Quadratic non-polynomial spline approach to the solution of a system of second-order boundary-value problems
• Cubic spline solutions to two-point boundary value problems
• The use of cubic splines in the numerical solution of a system of second-order boundary value problems

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