Error analysis of a variational multiscale stabilization for convection-dominated diffusion equations in 2d [PDF]
, 2016 We formulate a stabilized quasi-optimal Petrov-Galerkin method for singularly perturbed convection-diffusion problems based on the variational multiscale method.
Li, Guanglian +2 more
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Septic B-spline method for second order self-adjoint singularly perturbed boundary-value problems
Ain Shams Engineering Journal, 2018 In the present paper, we develop a septic B-spline method for solving a self-adjoint singularly perturbed two-point boundary value problem. This method is applied directly to the numerical solution of the problems without reducing its order.
Ram Kishun Lodhi, Hradyesh Kumar Mishra
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Robust numerical method for singularly perturbed differential equations with large delay
Demonstratio Mathematica, 2021 In this paper, a singularly perturbed differential equation with a large delay is considered. The considered problem contains a large delay parameter on the reaction term. The solution of the problem exhibits the interior layer due to the delay parameter
Abdulla Murad Ibrahim +2 more
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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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, 2015 We consider the solution of large linear systems of equations that arise when two-dimensional singularly perturbed reaction-diffusion equations are discretized.
Madden, Niall, Nhan, Thái Anh
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Averaging and linear programming in some singularly perturbed problems of optimal control [PDF]
, 2014 The paper aims at the development of an apparatus for analysis and construction of near optimal solutions of singularly perturbed (SP) optimal controls problems (that is, problems of optimal control of SP systems) considered on the infinite time horizon.
Gaitsgory, Vladimir +1 more
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A singularly perturbed Cauchy problem
Journal of Mathematical Analysis and Applications, 1979 Singular perturbations are considered for the initial value problem for second order hyperbolic equations with a small positive parameter multiplying the second order time derivative term. Thus, in contrast to recent work of de Jager and Geel, the reduced equation is of the same order as the original equation but of a different type.
Hsiao, George C., Weinacht, Richard J.
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The linear quadratic regulator problem for a class of controlled systems modeled by singularly perturbed Ito differential equations [PDF]
, 2012 This paper discusses an infinite-horizon linear quadratic (LQ) optimal control problem involving state- and control-dependent noise in singularly perturbed stochastic systems.
Assawinchaichote W. +8 more
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Spikes for the two-dimensional Gierer-Meinhardt system: The weak coupling case [PDF]
, 2001 In this paper, we rigorously prove the existence and stability of multiple-peaked patterns for the singularly perturbed Gierer-Meinhardt system in a two dimensional domain which are far from spatial homogeneity.
Wei, J, Winter, M
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Solving singularly perturbed differential equations in intuitionistic fuzzy environment
Ain Shams Engineering JournalIn this paper, we introduce and study singularly perturbed intuitionistic fuzzy initial value and boundary value problems. We develop a method based on the intuitionistic fuzzy version of Zadeh's extension principle to compute (α,β)-cuts for solutions to
Selami Bayeğ
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