Results 1 to 10 of about 13,060 (202)

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
doaj   +2 more sources

Step-like contrast structure of singularly perturbed optimal control problem [PDF]

Electronic Journal of Qualitative Theory of Differential Equations, 2011
In this paper, the existence of step-like contrast structure for a class of singularly perturbed optimal control problem is shown by the contrast structure theory.
Limeng Wu, Mingkang Ni, Haibo Lu
doaj   +3 more sources

Layer resolving numerical scheme for singularly perturbed parabolic convection-diffusion problem with an interior layer [PDF]

MethodsX, 2023
Singularly perturbed parabolic convection-diffusion problem with interior layer is a type of singularly perturbed boundary value problems which have sign change properties in the coefficient function of the convection term.
Gemadi Roba Kusi, Aknaw Hailemariam Habte, Tesfaye Aga Bullo   +2 more
doaj   +2 more sources

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
doaj   +1 more source

Robust numerical method for singularly perturbed differential equations having both large and small delay [PDF]

Arab Journal of Mathematical Sciences, 2022
Purpose – The purpose of this study is to develop stable, convergent and accurate numerical method for solving singularly perturbed differential equations having both small and large delay.
Habtamu Garoma Debela
doaj   +1 more source

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
doaj   +1 more source

Fitted numerical scheme for singularly perturbed convection-diffusion reaction problems involving delays [PDF]

Theoretical and Applied Mechanics, 2021
This paper deals with solution methods for singularly perturbed delay differential equations having delay on the convection and reaction terms. The considered problem exhibits an exponential boundary layer on the left or right side of the domain.
Woldaregay Mesfin, Aniley Worku, Duressa Gemechis   +2 more
doaj   +1 more source

$N$-widths for singularly perturbed problems [PDF]

Mathematica Bohemica, 2002
Summary: Kolmogorov \(N\)-widths are an approximation theory concept that, for a given problem, yields information about the optimal rate of convergence attainable by any numerical method applied to that problem. We survey sharp bounds recently obtained for the \(N\)-widths of certain singularly perturbed convection-diffusion and reaction-diffusion ...
Stynes, Martin, Bruce Kellogg, R.
openaire   +1 more source

Recovery problem for a singularly perturbed differential equation with an initial jump

Қарағанды университетінің хабаршысы. Математика сериясы, 2020
The article investigates the asymptotic behavior of the solution to reconstructing the boundary conditions and the right-hand side for second-order differential equations with a small parameter at the highest derivative, which have an initial jump ...
D.N. Nurgabyl, S.S. Nazhim
doaj   +1 more source

A NSFD Discretization of Two-Dimensional Singularly Perturbed Semilinear Convection-Diffusion Problems

Frontiers in Applied Mathematics and Statistics, 2022
Despite the availability of an abundant literature on singularly perturbed problems, interest toward non-linear problems has been limited. In particular, parameter-uniform methods for singularly perturbed semilinear problems are quasi-non-existent.
Olawale O. Kehinde, Justin B. Munyakazi, Appanah R. Appadu   +2 more
doaj   +1 more source