A cubic spline method for the solution of a linear fourth-order two-point boundary value problem

DOI10.1016/0771-050X(81)90017-6zbMath0461.65063OpenAlexW1991564059MaRDI QIDQ1152698

N. Papamichael, Andrew J. Worsey

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0771-050x(81)90017-6

zbMATH Keywords

finite difference schemecubic spline methodfourth order linear differential equation

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

Numerical methods for unilateral problems ⋮ New numerical method for solving tenth order boundary value problems ⋮ A mini-review of numerical methods for high-order problems† ⋮ Two-point boundary value problems associated to functional differential equations of even order solved by iterated splines ⋮ Numerical solution of a system of fourth order boundary value problems using cubic non-polynomial spline method ⋮ An O(h 6) quintic spline collocation method for fourth order two-point boundary value problems ⋮ Solution of the system of fourth-order boundary value problems using non-polynomial spline technique ⋮ An \(O(h^6)\) numerical solution of general nonlinear fifth-order two point boundary value problems ⋮ Solution of the system of fourth order boundary value problems using cubic spline ⋮ B-spline collocation for solution of two-point boundary value problems ⋮ Sextic spline solutions of fifth order boundary value problems ⋮ Quartic spline solution of linear fifth order boundary value problems ⋮ Numerical methods for a class of contact problems ⋮ Septic spline solutions of sixth-order boundary value problems ⋮ A new cubic B-spline method for linear fifth order boundary value problems ⋮ Cubic splines method for solving fourth-order obstacle problems ⋮ Family of numerical methods based on non-polynomial splines for solution of contact problems ⋮ Spline solutions for nonlinear fourth-order two-point boundary value problems

Cites Work

• Unnamed Item
• Smooth spline approximations for the solution of a boundary value problem with engineering applications
• End conditions for improved cubic spline derivative approximations
• Discrete Variable Methods for a Boundary Value Problem with Engineering Applications
• Extrapolated Collocation for Two-point Boundary-value Problems using Cubic Splines
• Error Bounds for Interpolating Cubic Splines Under Various End Conditions