Results 21 to 30 of about 10,372 (181)
Singularly perturbed and non-local modulation equations for systems with interacting instability mechanisms [PDF]
, 1996 Two related systems of coupled modulation equations are studied and compared in this paper. The modulation equations are derived for a certain class of basic systems which are subject to two distinct, interacting, destabilizing mechanisms. We assume that,
Doelman, A., Rottschafer, V.
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A Singularly Perturbed System of Parabolic Equations
Lobachevskii Journal of Mathematics, 2021 The work is devoted to the construction of the asymptotic behavior of the solution of a singularly perturbed system of equations of parabolic type, in the case when the limit equation has a regular singularity as the small parameter tends to zero. The asymptotics of the solution of such problems contains boundary layer functions.
Omuraliev, A. S., Esengul kyzy, P.
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Partial Differential Equations in Applied Mathematics, 2023 A numerical study of a two-parameter singularly perturbed time-delay parabolic equation has been initiated. The proposed technique is based on a fitted operator finite difference scheme.
Naol Tufa Negero
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A parameter robust numerical method for a two dimensional reaction-diffusion problem. [PDF]
, 2005 In this paper a singularly perturbed reaction-diffusion partial differential equation in two space dimensions is examined. By means of an appropriate decomposition, we describe the asymptotic behaviour of the solution of problems of this kind.
Clavero, C. +2 more
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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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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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Higher order energy expansions for some singularly perturbed Neumann problems [PDF]
, 2003 We consider the following singularly perturbed semilinear elliptic problem: \epsilon^{2} \Delta u - u + u^p=0 \ \ \mbox{in} \ \Omega, \quad u>0 \ \ \mbox{in} \ \ \Omega \quad \mbox{and} \ \frac{\partial u}{\partial \nu} =0 \ \mbox{on} \ \partial \
Adimurthi +22 more
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Advances in Nonlinear Analysis, 2020 In this paper, we study the singularly perturbed fractional Choquard ...
Yang Zhipeng, Zhao Fukun
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Singularly perturbed critical Choquard equations
Journal of Differential Equations, 2017 In this paper we study the semiclassical limit for the singularly perturbed Choquard equation $$ -\vr^2 u +V(x)u =\vr^{ -3}\Big(\int_{\R^3} \frac{Q(y)G(u(y))}{|x-y|^ }dy\Big)Q(x)g(u) \quad \mbox{in $\R^3$}, $$ where ...
Alves, Claudianor +3 more
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Exponential Collocation Method for Solutions of Singularly Perturbed Delay Differential Equations
Abstract and Applied Analysis, 2013 This paper deals with the singularly perturbed delay differential equations under boundary conditions. A numerical approximation based on the exponential functions is proposed to solve the singularly perturbed delay differential equations.
Şuayip Yüzbaşı, Mehmet Sezer
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