Sextic spline collocation methods for nonlinear fifth-order boundary value problems

DOI10.1080/00207160.2010.519384zbMath1230.65086OpenAlexW2044454975MaRDI QIDQ3101608

A. Lamnii, H. Mraoui, Driss Sbibih, Ahmed Tijini, Ahmed Zidna

Publication date: 29 November 2011

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

Full work available at URL: https://doi.org/10.1080/00207160.2010.519384

zbMATH Keywords

convergencecollocation methodnumerical examplesfifth-order boundary value problemsquasi-interpolantsextic spline interpolant

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (3)

An enhanced quartic B-spline method for a class of non-linear fifth-order boundary value problems ⋮ A unified approach for solving linear and nonlinear odd-order two-point boundary value problems ⋮ Fifth-kind orthonormal Chebyshev polynomial solutions for fractional differential equations

Cites Work

• Sinc and the numerical solution of fifth-order boundary value problems
• Sinc-Galerkin method for solving nonlinear boundary-value problems
• The numerical solution of fifth-order boundary value problems with sixth-degree B-spline functions
• A class of methods based on nonpolynomial sextic spline functions for the solution of a special fifth-order boundary-value problems
• Differential quadrature and longterm integration
• Spectral Galerkin methods for the primary two-point boundary value problem in modelling viscoelastic flows
• Spectral collocation methods for the primary two-point boundary value problem in modelling viscoelastic flows
• The numerical solution of fifth-order boundary value problems by the decomposition method

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