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Uniformly convergent computational method for singularly perturbed unsteady burger-huxley equation [PDF]

MethodsX, 2022
This paper deals with the numerical treatment of a singularly perturbed unsteady non-linear Burger-Huxley problem. Due to the simultaneous presence of a singular perturbation parameter and non-linearity in the problem applying classical numerical methods
Imiru Takele Daba, Gemechis File Duressa
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An efficient adaptive grid method for a system of singularly perturbed convection-diffusion problems with Robin boundary conditions

Advances in Difference Equations, 2021
A system of singularly perturbed convection-diffusion equations with Robin boundary conditions is considered on the interval [ 0 , 1 ] $[0,1]$ . It is shown that any solution of such a problem can be expressed to a system of first-order singularly ...
Li-Bin Liu, Ying Liang, Xiaobing Bao, Honglin Fang   +3 more
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Bifurcation diagrams for singularly perturbed system

Electronic Journal of Qualitative Theory of Differential Equations, 2012
We consider a singularly perturbed system where the fast dynamic of the unperturbed problem exhibits a trajectory homoclinic to a critical point.
Matteo Franca
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Adaptive Control for Singularly Perturbed Systems

IEEE Open Journal of Control Systems
Singularly perturbed systems are a class of mathematical systems that are not well approximated by their limits and can be used to model plants with multiple fast and slow states.
Kameron Eves, John Valasek
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Asymptotics of the solution of the hyperbolic system with a small parameter

MANAS: Journal of Engineering, 2022
Asymptotic study of singularly perturbed differential equations of hyperbolic type has received relatively little attention from researchers. In this paper, the asymptotic solution of the singularly perturbed Cauchy problem for a hyperbolic system is ...
Asan Omuraliev, Ella Abylaeva
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On the dynamics of the singularly perturbed of the difference equation with continuous arguments corresponding to the Hénon map

Alexandria Engineering Journal, 2023
The Hénon map was introduced by Hénon. It is a very rich dynamical model as Hénon himself proved and compared the dynamical properties of his map with those of other dynamical systems such as the Ro¨ssler model.
A.M.A. El-Sayed, S.M. Salman, A.M.A. Abo-Bakr   +2 more
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Asymptotic Convergence of the Solution of a Singularly Perturbed Integro-Differential Boundary Value Problem

Mathematics, 2020
In this study, the asymptotic behavior of the solutions to a boundary value problem for a third-order linear integro-differential equation with a small parameter at the two higher derivatives has been examined, under the condition that the roots of the ...
Assiya Zhumanazarova, Young Im Cho
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Singularly perturbed linear oscillator with piecewise-constant argument

Вестник КазНУ. Серия математика, механика, информатика, 2018
The Cauchy problem for singularly perturbed linear differential equation the second order with piecewise-constant argument is considered in the article.
M. U. Akhmet, M. K. Dauylbayev, A. E. Mirzakulova, N. Atakhan   +3 more
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Local RBF-FD-Based Mesh-free Scheme for Singularly Perturbed Convection-Diffusion-Reaction Models with Variable Coefficients

Journal of Mathematics, 2022
This work analyze singularly perturbed convection-diffusion-reaction (CDR) models with two parameters and variable coefficients by developing a mesh-free scheme based on local radial basis function-finite difference (LRBF-FD) approximation.
Ram Jiwari, Sukhveer Singh, Paramjeet Singh   +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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