A connection between quartic spline solution and numerov solution of a boundary value problem

DOI10.1080/00207168908803700zbMath0676.65087OpenAlexW2043441370MaRDI QIDQ3831986

Manabu Sakai, Riaz A. Usmani

Publication date: 1989

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207168908803700

zbMATH Keywords

finite difference methodNumerov's methodfourth order convergencequartic spline functionconsistency recurrence relationRichardson \(h^ 2\)-extrapolation

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)

Related Items

Discrete cubic spline method for second-order boundary value problems, Consistency relations of the spline functions derived from a Pascal-like triangle, On nonperiodic quartic spline interpolation, Cubic Lidstone-spline for numerical solution of BVPs, Solving the generalized nonlinear Schrödinger equation via quartic spline approximation, A survey on parametric spline function approximation, Discrete splines and its applications, Parametric cubic spline solution of two point boundary value problems, Unnamed Item

Cites Work

• Unnamed Item
• A note on quadratic spline interpolation at mid-points
• Spline function methods for nonlinear boundary-value problems
• Properties of Some Tridiagonal Matrices and Their Application to Boundary Value Problems
• 𝑂(ℎ^{2𝑛+2-𝑙}) bounds on some spline interpolation errors
• Cubic spline solutions to two-point boundary value problems
• The use of cubic splines in the solution of certain fourth order boundary value problems
• A sixth order method for the integration of two point boundary value problems