The variational spline method for solving Troesch's problem

DOI10.1007/s10910-014-0462-6zbMath1323.65085OpenAlexW1999285152MaRDI QIDQ2353549

A. Hananel, Z. Belhaj, Miguel Pasadas, Abdelouahed Kouibia

Publication date: 15 July 2015

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-014-0462-6

zbMATH Keywords

convergencenumerical examplecubic splinesvariational methodTroesch's problemnonlinear two-point boundary value problem

Mathematics Subject Classification ID

Numerical computation using splines (65D07) 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 (5)

Numerical solution of two-point nonlinear boundary value problems via Legendre-Picard iteration method ⋮ Chebyshev spectral method for solving a class of local and nonlocal elliptic boundary value problems ⋮ An iterative technique for solving a class of local and nonlocal elliptic boundary value problems ⋮ Approximation of generalized offset surfaces by bicubic splines ⋮ A variational method for solving two-dimensional Bratu's problem

Cites Work

• Unnamed Item
• Troesch's problem: a B-spline collocation approach
• Approximation by interpolating variational splines
• A simple approach to a sensitive two-point boundary value problem
• Approximation of surfaces by fairness bicubic splines
• Approximation by discrete variational splines

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