Results 31 to 40 of about 818,934 (319)
Generic planar algebraic vector fields are disintegrated
, 2020 In this article, we study model-theoretic properties of algebraic differential equations of order $2$, defined over constant differential fields. In particular, we show that the set of solutions of a general differential equation of order $2$ and of ...
Jaoui, Rémi
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Systems of Differential Algebraic Equations in Computational Electromagnetics [PDF]
, 2018 Starting from space-discretisation of Maxwell’s equations, various classical formulations are proposed for the simulation of electromagnetic fields. They differ in the phenomena considered as well as in the variables chosen for discretisation.
I. C. Garcia +3 more
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Periodic solutions of semi-explicit differential-algebraic equations with time-dependent constraints [PDF]
, 2013 In this paper we investigate the properties of the set of T-periodic solutions of semi-explicit parametrized Differential-Algebraic Equations with non-autonomous constraints of a particular type.
Bisconti, Luca +2 more
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Numerical Solution via Operational Matrix for Solving Prabhakar Fractional Differential Equations
Journal 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
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On Solving System of Linear Differential-Algebraic Equations Using Reduction Algorithm
International 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
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Aerospace, 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
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Differential/Algebraic Equations As Stiff Ordinary Differential Equations
SIAM Journal on Numerical Analysis, 1992 To a system of differential algebraic equations: \[ \text{(DAE)}\quad y'(t)=f(t,y(t),z(t),0),\quad g(t,y(t),z(t),0)=0, \] a system of singularly perturbed ordinary differential equations: \[ \text{(ODE)}\quad y_ \varepsilon'(t)=f(t,y_ \varepsilon(t),z_ \varepsilon(t),\varepsilon), \varepsilon z_ \varepsilon'(t)=g(t,y_ \varepsilon(t),z_ \varepsilon(t ...
openaire +4 more sources
Free integro-differential algebras and Groebner-Shirshov bases [PDF]
, 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
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Nonlinear differential equations and algebraic systems
International 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
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Delay regularity of differential-algebraic equations
IEEE Conference on Decision and Control, 2019 We study linear time-invariant delay differential-algebraic equations (DDAEs). Such equations can arise if a feedback controller is applied to a descriptor system and the controller requires some time to measure the state and to compute the feedback ...
Stephan Trenn, B. Unger
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