Results 21 to 30 of about 253,757 (236)

Numerical Solution via Operational Matrix for Solving Prabhakar Fractional Differential Equations

open access: yesJournal of Mathematics, 2022
In this work, we apply the operational matrix based on shifted Legendre polynomials for solving Prabhakar fractional differential equations. The Prabhakar derivative is defined in three-parameter Mittag-Leffler function. We achieve this by first deriving
Farah Suraya Md Nasrudin, Chang Phang
doaj   +1 more source

Differential Equations for Algebraic Functions [PDF]

open access: yes, 2007
It is classical that univariate algebraic functions satisfy linear differential equations with polynomial coefficients. Linear recurrences follow for the coefficients of their power series expansions.
Bostan, Alin   +4 more
core   +9 more sources

On Solving System of Linear Differential-Algebraic Equations Using Reduction Algorithm

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2020
In this paper, we present a new reduction algorithm for solving system of linear differential-algebraic equations with power series coefficients. In the proposed algorithm, we transform the given system of differential-algebraic equations into another ...
Srinivasarao Thota
doaj   +1 more source

Numerical Simulation of Chemical Propulsion Systems: Survey and Fundamental Mathematical Modeling Approach

open access: yesAerospace, 2023
This study deals with the mathematical modeling and numerical simulation of chemical propulsion systems (CPSs). For this, we investigate and summarize a comprehensive collection of the simulation modeling developments of CPSs in academic works ...
Jihyoung Cha
doaj   +1 more source

Free integro-differential algebras and Groebner-Shirshov bases [PDF]

open access: yes, 2014
The notion of commutative integro-differential algebra was introduced for the algebraic study of boundary problems for linear ordinary differential equations. Its noncommutative analog achieves a similar purpose for linear systems of such equations.
Gao, Xing, Guo, Li, Rosenkranz, Markus
core   +3 more sources

Nonlinear differential equations and algebraic systems

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1978
In this paper we obtain the general solution of scalar, first-order differential equations. The method is variation of parameters with asymptotic series and the theory of partial differential equations.
Lloyd K. Williams
doaj   +1 more source

Generalized Derivatives of Differential–Algebraic Equations [PDF]

open access: yesJournal of Optimization Theory and Applications, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Peter G. Stechlinski, Paul I. Barton
openaire   +3 more sources

Controllability of switched differential–algebraic equations [PDF]

open access: yesSystems & Control Letters, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Küsters, Ferdinand   +2 more
openaire   +2 more sources

On discrete analogues of nonlinear implicit differential equations

open access: yesAdvances in Difference Equations, 2006
This paper deals with some classes of nonlinear implicit difference equations obtained via discretization of nonlinear differential-algebraic or partial differential-algebraic equations.
Anh Pham Ky, Loi Le Cong
doaj   +2 more sources

Pseudotransient Continuation and Differential-Algebraic Equations [PDF]

open access: yesSIAM Journal on Scientific Computing, 2003
The authors present a globally convergent method for semi-explicit index-1 differential-algebraic equations (DAEs) given by an iteration procedure. Pseudotransient continuation is a practical technique for globalizing the computation of steady-state solutions of nonlinear differential equations and is applied here to DAEs.
Coffey, Todd S.   +2 more
openaire   +2 more sources

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