Non-polynomial quintic spline solution for the system of third order boundary-value problems

DOI10.1007/s11075-011-9503-4zbMath1238.65076OpenAlexW1995590562MaRDI QIDQ411530

J. Herrera, H. S. Yoon

Publication date: 4 April 2012

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-011-9503-4

zbMATH Keywords

convergencevariational inequalitiesnumerical exampleserror boundsboundary-value problemsnon-polynomial quintic splinesodd-order obstacle problemsphysical oceanography

Mathematics Subject Classification ID

Variational inequalities (49J40) Nonlinear boundary value problems for ordinary differential equations (34B15) Hydrology, hydrography, oceanography (86A05) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05) Numerical methods for variational inequalities and related problems (65K15)

Related Items (6)

A new numerical scheme for third-order singularly Emden–Fowler equations using quintic B-spline function ⋮ On using cubic spline for the solution of problems in calculus of variations ⋮ Non-polynomial quintic spline for numerical solution of fourth-order time fractional partial differential equations ⋮ Non-polynomial spline method for the time-fractional nonlinear Schrödinger equation ⋮ Simple numerical methods of second- and third-order convergence for solving a fully third-order nonlinear boundary value problem ⋮ A two-step hybrid block method with fourth derivatives for solving third-order boundary value problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• An efficient method for solving systems of third-order nonlinear boundary value problems
• Cubic splines collocation methods for unilateral problems
• Variational formulation for every nonlinear problem
• Solving third-order obstacle problems with quartic \(B\)-splines
• Quintic splines method for solving contact problems
• General variational inequalities
• Numerical solution of some ordinary differential equations occurring in plate deflection theory
• Cubic splines method for a system of third-order boundary value problems
• The numerical solution of third-order boundary-value problems using quintic splines
• Finite-difference method for a system of third-order boundary-value problems
• Quartic splines solutions of third-order obstacle problems
• Finite difference scheme for variational inequalities
• Numerical solutions of third-order system of boundary value problems
• A survey on parametric spline function approximation
• Nonpolynomial spline approach to the solution of a system of third-order boundary-value problems
• Discrete Variable Methods for a Boundary Value Problem with Engineering Applications
• On the regularity of the solution of a variational inequality

This page was built for publication: Non-polynomial quintic spline solution for the system of third order boundary-value problems