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The Contrast Structures for a Class of Singularly Perturbed Systems with Heteroclinic Orbits
Discrete Dynamics in Nature and Society, 2016 Singularly perturbed problems are often used as the models of ecology and epidemiology. In this paper, a class of semilinear singularly perturbed systems with contrast structures are discussed.
Han Xu, Yinlai Jin
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Қарағанды университетінің хабаршысы. Математика сериясыThe article is devoted to the study of a singularly perturbed initial problem for a linear differential equation with a piecewise constant argument second-order for a small parameter.
A.E. Mirzakulova, K.T. Konisbayeva
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On Discontinuous Galerkin Methods for Singularly Perturbed and Incompressible Miscible Displacement Problems [PDF]
, 2012 This thesis is concerned with the numerical approximation of problems of fluid flow, in particular the stationary advection diffusion reaction equations and the time dependent, coupled equations of incompressible miscible displacement in a porous medium.
CHAPMAN, JOHN,ROBERT +1 more
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International Journal of Differential Equations, 2012 We have presented a numerical integration method to solve a class of singularly perturbed delay differential equations with small shift. First, we have replaced the second-order singularly perturbed delay differential equation by an asymptotically ...
Gemechis File, Y. N. Reddy
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Қарағанды университетінің хабаршысы. Математика сериясы, 2018 The article is devoted to study of boundary value problem with boundary jumps for third order linear integro-differential equation with a small parameter at the highest derivatives, provided that additional characteristic equation’s roots have opposite ...
A.E. Mirzakulova +3 more
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Quasilinear and quadratic singularly perturbed periodic boundary value problem [PDF]
, 2000 summary:The problem of existence and asymptotic behavior of solutions of the quasilinear and quadratic singularly perturbed periodic boundary value problem as a small parameter at highest derivative tends to zero is ...
Vrábeľ, Róbert
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A Combined Renormalization Group-Multiple Scale Method for Singularly Perturbed Problems
, 2010 This paper introduces a straightforward method to asymptotically solve a variety of initial and boundary value problems for singularly perturbed ordinary differential equations whose solution structure can be anticipated.
Kirkinis, E., O'Malley, R. E.
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Singularly perturbed Choquard equations with nonlinearity satisfying Berestycki-Lions assumptions
Advances in Nonlinear Analysis, 2019 In the present paper, we consider the following singularly perturbed problem:
Tang Xianhua, Chen Sitong
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Fourth-order fitted mesh scheme for semilinear singularly perturbed reaction-diffusion problems. [PDF]
BMC Res Notes, 2023 Reda BT, Bullo TA, Duressa GF.
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A Posteriori Error Analysis of hp-FEM for singularly perturbed problems [PDF]
, 2014 We consider the approximation of singularly perturbed linear second-order boundary value problems by hp-finite element methods. In particular, we include the case where the associated differential operator may not be coercive.
Melenk, Jens M., Wihler, Thomas
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