An efficient computer application of the sinc-Galerkin approximation for nonlinear boundary value problems

DOI10.1186/1687-2770-2012-117zbMath1282.65087OpenAlexW2124612700WikidataQ59272734 ScholiaQ59272734MaRDI QIDQ384451

Muhammet Kurulay, Mehmet Ali Akinlar, Aydin Secer, Mustafa Bayram

Publication date: 27 November 2013

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2012-117

zbMATH Keywords

Newton methodsinc-Galerkin methodWhittaker cardinal function\texttt{Maple}nonlinear matrix systemsecond-order nonlinear Dirichlet-type boundary value problemssinc basis function

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) 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 (4)

Three new approaches for solving a class of strongly nonlinear two-point boundary value problems ⋮ Analysis of non-homogeneous heat model with new trend of derivative with fractional order ⋮ Sinc-Galerkin method for approximate solutions of fractional order boundary value problems ⋮ Numerical solution and simulation of second-order parabolic PDEs with sinc-Galerkin method using Maple

Uses Software

• Maple

Cites Work

• An alternating-direction sinc-Galerkin method for elliptic problems
• Approximations via Whittaker's cardinal function
• Convergence of the sinc overlapping domain decomposition method
• The Schwarz alternating sinc domain decomposition method
• Numerical method for the solution of special nonlinear fourth-order boundary value problems.
• Summary of Sinc numerical methods
• A new sinc-Galerkin method for convection-diffusion equations with mixed boundary conditions
• Numerical implementation of the Sinc-Galerkin method for second-order hyperbolic equations
• The space-time Sinc-Gallerkin method for parabolic problems
• Symmetrization of the Sinc-Galerkin Method with Block Techniques for Elliptic Equations
• Numerical Methods Based on Whittaker Cardinal, or Sinc Functions
• Fast iterative methods for symmetric sinc-Galerkin systems
• Numerical Solution of Singular Poisson Problems via the Sinc–Galerkin Method
• Domain decomposition in conjunction with sinc methods for Poisson's equation

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