Clustered spots in the FitzHugh-Nagumo system
, 2004 We construct {\bf clustered} spots for the following FitzHugh-Nagumo system: \[\left\{\begin{array}{l}\ep^2\Delta u +f(u)-\delta v =0\quad \mbox{in} \ \Om,\\[2mm]\Delta v+ u=0 \quad \mbox{in} \ \Om,\\[2mm] u= v =0 \quad\mbox{on} \ \partial \Om, \end{
Winter, M +5 more
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Uniformly convergent extended cubic B-spline collocation method for two parameters singularly perturbed time-delayed convection-diffusion problems. [PDF]
BMC Res Notes, 2023 Negero NT.
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A Layer-Adapted Numerical Method for Singularly Perturbed Partial Functional-Differential Equations
AxiomsThis article describes an effective computing method for singularly perturbed parabolic problems with small negative shifts in convection and reaction terms. To handle the small negative shifts, the Taylor series expansion is used.
Ahmed A. Al Ghafli +2 more
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Exponentially fitted numerical method for solving singularly perturbed delay reaction-diffusion problem with nonlocal boundary condition. [PDF]
BMC Res Notes, 2023 Wondimu GM +3 more
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On a Two Dimensional Reaction-Diffusion System with Hypercyclical Structure
, 2000 We study a hypercyclical reaction-diffusion system which arises in the modeling of catalytic networks and describes the emerging of cluster states.
Winter, M, Wei, J
core
Sampling of singularly perturbed switched linear systems
, 2013 International audienceWe consider several time-discretization algorithms for singularly perturbed switched systems. The algorithms correspond to different sampling times and the discretization procedure respects the splitting of each mode in fast and ...
Daafouz, Jamal +2 more
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, 2013 . In this paper, a new algorithm is presented to approximate the solution of a singularly perturbed boundary value problem with leftlayer based on the homotopy perturbation technique and applying the Laplace transformation. The convergence theorem and
S. M. Hossein +3 more
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Fitted computational method for solving singularly perturbed small time lag problem. [PDF]
BMC Res Notes, 2022 Tesfaye SK +3 more
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Critical Threshold and Stability of Cluster Solutions for Large Reaction-Diffusion Systems in R
, 2002 We study a large reaction-diffusion system which arises in the modeling of catalytic networks and describes the emerging of cluster states. We construct single cluster solutions on the real line and then establish their stability or instability in
Winter, M, Wei, J
core
A parameter uniform method for two-parameter singularly perturbed boundary value problems with discontinuous data. [PDF]
MethodsX, 2023 Roy N, Jha A.
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