On the numerical solution of differential-algebraic equations by Padé series

DOI10.1016/S0096-3003(02)00093-0zbMath1031.65092MaRDI QIDQ1406066

Mustafa Bayram, Ercan Çelik

Publication date: 9 September 2003

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

zbMATH Keywords

Power seriesPadé seriesArbitrary orderDifferential-algebraic equationMAPLE computer algebra systems

Mathematics Subject Classification ID

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

Related Items (22)

The basic successive substitute approximations method and Padé approximations to solve the elasticity problem of settled of the wronkler ground with variable coefficients ⋮ On the numerical solution of differential--algebraic equations with index-2 ⋮ Adomian decomposition method for solution of nonlinear differential algebraic equations ⋮ Solving system of DAEs by homotopy analysis method ⋮ On the solution of the Abel equation of the second kind by the shifted Chebyshev polynomials ⋮ A novel representation of the exact solution for differential algebraic equations system using residual power-series method ⋮ Analytical solution of a nonlinear index-three DAEs system modelling a slider-Crank mechanism ⋮ A numerical solution of the elasticity problem of settled of the wronkler ground with variable coefficients. ⋮ The numerical solution of physical problems modeled as a systems of differential-algebraic equations (DAEs) ⋮ Numerical solutions of linear time-varying descriptor systems via hybrid functions ⋮ Numerical solution of differential-algebraic equations with index-2 ⋮ On the numerical solution of differential-algebraic equations with index-3 ⋮ NUMERICAL SOLUTION OF ISOTHERMAL GAS SPHERE PROBLEM ⋮ Approximate solution of a reduced-type index-\(k\) Hessenberg differential-algebraic control system ⋮ On the numerical solution of differential-algebraic equations with Hessenberg index-3 ⋮ The modified successive approximations method and Padé approximants for solving the differential equation with variant retarded argument ⋮ On the numerical solution of chemical differential-algebraic equations by Padé series ⋮ Unnamed Item ⋮ An algorithm for solving DAEs with mechanization ⋮ Applications of differential transform methods to differential-algebraic equations ⋮ Chebyshev series approximation for solving differential–algebraic equations (DAEs) ⋮ A new numerical algorithm for the Abel equation of the second kind

Uses Software

• Maple
• RODAS

Cites Work

• Numerical solution of differential algebraic equations and computation of consistent initial/boundary conditions
• Solving Ordinary Differential Equations Using Taylor Series
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the numerical solution of differential-algebraic equations by Padé series