Cubic splines method for solving fourth-order obstacle problems

DOI10.1016/j.amc.2005.03.022zbMath1089.65073OpenAlexW2102321329MaRDI QIDQ2490199

Themistocles M. Rassias, Muhammad Aslam Noor, Eisa A. Al-Said

Publication date: 28 April 2006

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

Full work available at URL: https://doi.org/10.1016/j.amc.2005.03.022

zbMATH Keywords

comparison of methodsnumerical examplesConvergencecollocationfinite differenceVariational inequalitiesspline methodsCubic splinesObstacle problemssystem of fourth-order boundary value problems

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Variational inequalities (49J40) Control, switches and devices (``smart materials) in solid mechanics (74M05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05) Finite difference and finite volume methods for ordinary differential equations (65L12)

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Cites Work

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• Quintic splines solutions of a class of contact problems
• Numerical methods for unilateral problems
• A cubic spline method for the solution of a linear fourth-order two-point boundary value problem
• 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
• Finite difference method for solving fourth-order obstacle problems
• Numerical solutions of fourth order variational inequalities
• On the regularity of the solution of a variational inequality

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