Numerical solution of differential--algebraic equation systems and applications

DOI10.1016/S0096-3003(03)00719-7zbMath1058.65085OpenAlexW1970222845WikidataQ115339717 ScholiaQ115339717MaRDI QIDQ1883196

Mustafa Bayram, Ercan Çelik

Publication date: 1 October 2004

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

Full work available at URL: https://doi.org/10.1016/s0096-3003(03)00719-7

zbMATH Keywords

numerical examplepower seriessystems of differential-algebraic equationsPadé seriesMAPLE computer algebra systems

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Implicit ordinary differential equations, differential-algebraic equations (34A09) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical methods for differential-algebraic equations (65L80)

Related Items (9)

A novel representation of the exact solution for differential algebraic equations system using residual power-series method ⋮ A collocation approach to solve the Riccati-type differential equation systems ⋮ An exponential matrix method for solving systems of linear differential equations ⋮ Continuation method for computing certain singular points for index-1 differential algebraic equations ⋮ The reproducing kernel algorithm for handling differential algebraic systems of ordinary differential equations ⋮ Unnamed Item ⋮ 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 ⋮ An algorithm for solving DAEs with mechanization

Uses Software

• Maple
• RODAS

Cites Work

• One-step and extrapolation methods for differential-algebraic systems
• Arbitrary order numerical method for solving differential-algebraic equation by Padé series
• Numerical solutions of chemical differential-algebraic equations
• Unnamed Item
• Unnamed Item

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