Cubic splines collocation methods for unilateral problems

DOI10.1016/0020-7225(87)90030-9zbMath0624.73120OpenAlexW1976709530MaRDI QIDQ579046

Muhammad Aslam Noor, Ahmed Kamel Khalifa

Publication date: 1987

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(87)90030-9

zbMATH Keywords

convergence analysisexistenceuniquenessequilibrium configurationB-splinespenalty function methodfree boundary value problemscubic splines collocation techniqueelastic string stretched over an elastic obstaclesystem of second order differential equationsunilateral boundary value problems

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Variational inequalities (49J40) Contact in solid mechanics (74M15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Theories of friction (tribology) (74A55)

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Cites Work

• A numerical method for unilateral problems
• Collocation with Quadratic and Cubic Splines
• A Collocation Method for Two-Point Boundary Value Problems
• Variational inequalities
• On the regularity of the solution of a variational inequality
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