Convergence of cubic-spline approach to the solution of a system of boundary-value problems

DOI10.1016/j.amc.2007.03.008zbMath1193.65133OpenAlexW2049806735MaRDI QIDQ990528

Jalil Rashidinia, Reza Jalilian, Reza Mohammadi, Mohamad Ghasemi

Publication date: 1 September 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2007.03.008

zbMATH Keywords

convergence analysisobstacle problemscubic splinemonotone matrixsystem of boundary-value problems

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (5)

Spline collocation method with four parameters for solving a system of fourth-order boundary-value problems ⋮ An accurate numerical algorithm for solving singular and nonsingular system of initial value problems on large interval ⋮ Non-polynomial spline functions and Quasi-linearization to approximate nonlinear Volterra integral equation ⋮ Computational Techniques for Solving Differential Equations by Cubic, Quintic, and Sextic Spline ⋮ Convergence analysis of non-polynomial spline functions for the Fredholm integral equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Parametric quintic-spline approach to the solution of a system of fourth-order boundary-value problems
• Solution of the system of fourth-order boundary value problems using non-polynomial spline technique
• Solution of the system of fourth order boundary value problems using cubic spline
• Comment on the paper ``A class of methods based on non-polynomial spline functions for the solution of a special fourth-order boundary-value problems with engineering applications
• Quintic splines solutions of a class of contact problems
• Quintic splines method for solving contact problems
• Multiderivative methods for non-linear second-order boundary value problems
• Numerical methods for unilateral problems
• An O(h 6) quintic spline collocation method for fourth order two-point boundary value problems
• Numerical methods for a class of contact problems
• Discrete methods for boundary value problems with applications in plate deflection theory
• A sixth-order multiderivative method for two beam problems
• On the numerical integration of a boundary value problem involving a fourth order linear differential equation
• Discrete Variable Methods for a Boundary Value Problem with Engineering Applications
• Numerical solutions of a system of fourth order boundary value problems
• Numerical solutions of fourth order variational inequalities
• Error Bounds for Interpolating Cubic Splines Under Various End Conditions
• On the regularity of the solution of a variational inequality

This page was built for publication: Convergence of cubic-spline approach to the solution of a system of boundary-value problems