Finite difference method for solving fourth-order obstacle problems

DOI10.1080/00207160410001661654zbMath1060.65077OpenAlexW2076094454MaRDI QIDQ3154807

Doǧan Kaya, Kamel Al-Khaled, Muhammad Aslam Noor, Eisa A. Al-Said

Publication date: 14 January 2005

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

Full work available at URL: https://doi.org/10.1080/00207160410001661654

zbMATH Keywords

convergencevariational inequalitiesfinite difference methodobstacle problemsnumerical examplescontact problemsfourth-order boundary value problems

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Variational inequalities (49J40) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (13)

Spline collocation method with four parameters for solving a system of fourth-order boundary-value problems ⋮ A mini-review of numerical methods for high-order problems† ⋮ Solution of Initial and Boundary Value Problems by an Effective Accurate Method ⋮ An efficient method for solving systems of third-order nonlinear boundary value problems ⋮ A rational approximation based on Bernstein polynomials for high order initial and boundary values problems ⋮ A class of methods based on non-polynomial spline functions for the solution of a special fourth-order boundary-value problems with engineering applications ⋮ Cubic splines method for solving fourth-order obstacle problems ⋮ Adaptive optimal control approximation for solving a fourth-order elliptic variational inequality ⋮ Decomposition method for solving a system of fourth-order obstacle boundary value problems ⋮ Family of numerical methods based on non-polynomial splines for solution of contact problems ⋮ Some iterative algorithms for the obstacle problems ⋮ Exponential spline solution of boundary value problems occurring in the plate deflection theory ⋮ Solving a system of fourth‐order obstacle boundary value problems by differential transform method

Cites Work

• Unnamed Item
• Quintic splines solutions of a class of contact problems
• Numerical methods for unilateral problems
• Numerical methods for a class of contact problems
• The use of quartic splines in the numerical solution of a fourth-order boundary value problem
• Quartic spline method for solving fourth order obstacle boundary value problems
• Numerical solutions of a system of fourth order boundary value problems
• Numerical solutions of fourth order variational inequalities
• On the regularity of the solution of a variational inequality

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