On the numerical solution of differential-algebraic equations with Hessenberg index-3

DOI10.1155/2012/147240zbMath1237.65087OpenAlexW2035381551WikidataQ58700339 ScholiaQ58700339MaRDI QIDQ764571

Melike Karta, Ercan Çelik

Publication date: 13 March 2012

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/147240

zbMATH Keywords

numerical examplesdifferential-algebraic equationsvariational iteration methodHessenberg index-3

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical methods for differential-algebraic equations (65L80)

Related Items (2)

Analytical solution of a nonlinear index-three DAEs system modelling a slider-Crank mechanism ⋮ Approximate solution of a reduced-type index-\(k\) Hessenberg differential-algebraic control system

Uses Software

• COLNEW

Cites Work

• Unnamed Item
• Solitary wave solutions for a time-fraction generalized Hirota-Satsuma coupled KdV equation by a new analytical technique
• Application of homotopy analysis method for natural convection of Darcian fluid about a vertical full cone embedded in porous media prescribed surface heat flux
• Application of He's variational iteration method and Adomian's decomposition method to the fractional KdV-Burgers-Kuramoto equation
• He's variational iteration method for solving linear and non-linear systems of ordinary differential equations
• An approximation of the analytical solution of the linear and nonlinear integro-differential equations by homotopy perturbation method
• The variational iteration method for analytic treatment for linear and nonlinear ODEs
• On the numerical solution of differential-algebraic equations by Padé series
• Application of He's variational iteration method and Adomian's decomposition method to Sawada-Kotera-Ito seventh-order equation
• ODE Methods for the Solution of Differential/Algebraic Systems
• Analytical solution of time-fractional Navierâ Stokes equation in polar coordinate by homotopy perturbation method
• On Symmetric Schemes and Differential-Algebraic Equations
• APPLICATION OF He's VARIATIONAL ITERATION METHOD AND ADOMIAN'S DECOMPOSITION METHOD TO PROCHHAMMER–CHREE EQUATION
• Variational iteration method for autonomous ordinary differential systems

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