Results 21 to 30 of about 19,649 (184)
On the Reduction of Singularly-Perturbed Linear Differential Systems [PDF]
, 2014 In this article, we recover singularly-perturbed linear differential systems from their turning points and reduce the rank of the singularity in the parameter to its minimal integer value.
Abbas, Hassan +2 more
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Computing singularly perturbed differential equations [PDF]
Journal of Computational Physics, 2018 A computational tool for coarse-graining nonlinear systems of ordinary differential equations in time is discussed. Three illustrative model examples are worked out that demonstrate the range of capability of the method. This includes the averaging of Hamiltonian as well as dissipative microscopic dynamics whose `slow' variables, defined in a precise ...
Sabyasachi Chatterjee +2 more
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Formal normal form of Ak slow fast systems [PDF]
, 2015 An Ak slow fast system is a particular type of singularly perturbed ODE. The corresponding slow manifold is defined by the critical points of a universal unfolding of an Ak singularity.
Jardón-Kojakhmetov, Hildeberto
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A posteriori mesh method for a system of singularly perturbed initial value problems
AIMS Mathematics, 2022 A system of singularly perturbed initial value problems with weak constrained conditions on the coefficients is considered. First the system of second-order singularly perturbed problems is transformed into a system of first-order singularly perturbed ...
Zhongdi Cen, Jian Huang, Aimin Xu
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Exponential stability for singularly perturbed systems with state delays
Electronic Journal of Qualitative Theory of Differential Equations, 2000 In this paper the problem of stability of the zero solution of singularly perturbed system of linear differential equation with state delays is investigated.
V. Dragan, A. Ionita
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Recovery problem for a singularly perturbed differential equation with an initial jump
Қарағанды университетінің хабаршысы. Математика сериясы, 2020 The article investigates the asymptotic behavior of the solution to reconstructing the boundary conditions and the right-hand side for second-order differential equations with a small parameter at the highest derivative, which have an initial jump ...
D.N. Nurgabyl, S.S. Nazhim
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Closeness of Solutions for Singularly Perturbed Systems via Averaging [PDF]
, 2018 This paper studies the behavior of singularly perturbed nonlinear differential equations with boundary-layer solutions that do not necessarily converge to an equilibrium.
Ahmadizadeh, Saeed +3 more
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Ain Shams Engineering Journal, 2017 This paper deals with singularly perturbed boundary value problem for a linear second order delay differential equation. It is known that the classical numerical methods are not satisfactory when applied to solve singularly perturbed problems in delay ...
P. Pramod Chakravarthy +2 more
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Ain Shams Engineering Journal, 2018 In this paper, an hybrid initial value method on Shishkin mesh is suggested to solve singularly perturbed boundary value problem for second order ordinary delay differential equation with discontinuous convection coefficient and source term.
V. Subburayan
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On parametric Gevrey asymptotics for initial value problems with infinite order irregular singularity and linear fractional transforms [PDF]
, 2018 This paper is a continuation a previous work of the authors where parametric Gevrey asymptotics for singularly perturbed nonlinear PDEs has been studied. Here, the partial differential operators are combined with particular Moebius transforms in the time
Lastra, Alberto, Malek, Stéphane
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