The numerical solution of differential-algebraic equations by sinc-collocation method

DOI10.1007/s40314-013-0024-8zbMath1272.65063OpenAlexW1974852542MaRDI QIDQ361997

Abbas Saadatmandi, Mehdi Dehghan, Somayeh Yeganeh, Fahimeh Soltanian

Publication date: 20 August 2013

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-013-0024-8

zbMATH Keywords

convergencenumerical examplesdifferential-algebraic equationsindex reduction methodsinc functionsinc-collocation

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) 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 methods for differential-algebraic equations (65L80)

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Cites Work

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• Sinc-collocation method for solving the Blasius equation
• The use of sinc-collocation method for solving multi-point boundary value problems
• The sinc-Legendre collocation method for a class of fractional convection-diffusion equations with variable coefficients
• Sinc collocation-interpolation method for the simulation of nonlinear waves
• Application of He's variational iteration method for solution of differential-algebraic equations
• On the numerical solution of linear and nonlinear Volterra integral and integro-differential equations
• An index reduction method for linear Hessenberg systems
• Sinc-Galerkin solution for nonlinear two-point boundary value problems with applications to chemical reactor theory
• Reducing index, and pseudospectral methods for differential-algebraic equations.
• Block matrix sinc-Galerkin solution of the wind-driven current problem
• Adomian decomposition method for solution of differential-algebraic equations
• The numerical solution of a nonlinear system of second-order boundary value problems using the sinc-collocation method
• ODE Methods for the Solution of Differential/Algebraic Systems
• Projected Implicit Runge–Kutta Methods for Differential-Algebraic Equations
• Sequential Regularization Methods for Higher Index DAE<scp>s</scp> with Constraint Singularities: The Linear Index-2 Case
• Stability of Computational Methods for Constrained Dynamics Systems
• The numerical solution of third‐order boundary value problems using Sinc‐collocation method
• Solution of the differential algebraic equations via homotopy perturbation method and their engineering applications