The numerical solution of physical problems modeled as a systems of differential-algebraic equations (DAEs)

DOI10.1016/j.jfranklin.2004.07.004zbMath1062.65079OpenAlexW1984608214MaRDI QIDQ1763972

Mustafa Bayram, Ercan Çelik

Publication date: 22 February 2005

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2004.07.004

zbMATH Keywords

numerical examplesPadé approximationsDifferential-algebraic equationslinear circuitPhysical model

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Technical applications of optics and electromagnetic theory (78A55) Numerical methods for differential-algebraic equations (65L80)

Related Items (10)

A new approach to the electrostatic pull-in instability of nanocantilever actuators using the ADM-Padé technique ⋮ A numerical method for partial differential algebraic equations based on differential transform method ⋮ A novel representation of the exact solution for differential algebraic equations system using residual power-series method ⋮ Sinc-Galerkin method for approximate solutions of fractional order boundary value problems ⋮ Continuation method for computing certain singular points for index-1 differential algebraic equations ⋮ Analytical approximate solutions of systems of fractional algebraic-differential equations by homotopy analysis method ⋮ The reproducing kernel algorithm for handling differential algebraic systems of ordinary differential equations ⋮ The Differential Transform Method for the Numerical Treatment of Differential-Algebraic Equations with Index 2 ⋮ Numerical Treatment of Differential-Algebraic Equations with Index 2 by Reducing the Index ⋮ Chebyshev series approximation for solving differential–algebraic equations (DAEs)

Uses Software

• RODAS

Cites Work

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• On the numerical solution of differential-algebraic equations by Padé series
• Sequential Regularization Methods for Nonlinear Higher-Index DAEs
• ODE Methods for the Solution of Differential/Algebraic Systems
• Projected Implicit Runge–Kutta Methods for Differential-Algebraic Equations
• On Symmetric Schemes and Differential-Algebraic Equations
• Utilization of automatic differentiation in control algorithms
• Sequential Regularization Methods for Higher Index DAE<scp>s</scp> with Constraint Singularities: The Linear Index-2 Case

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