Results 91 to 100 of about 1,301,601 (206)

Parameter uniform numerical method for fourth order singularly perturbed turning point problems exhibiting boundary layers

open access: yesAin Shams Engineering Journal, 2018
In this paper, a numerical method based on Shishkin mesh for a singularly perturbed fourth order differential equation with a turning point exhibiting boundary layers is presented. In this method the problem is transformed into a weakly coupled system of
N. Geetha, A. Tamilselvan
doaj   +1 more source

Uniform asymptotic expansion of the solution for the initial value problem with a piecewise constant argument

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы
The 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
doaj   +1 more source

Numerical Methods for Singularly Perturbed Differential Equations

open access: yesIrish Mathematical Society Bulletin, 1986
Some simple examples are given of boundary layers appearing in solutions of second order differential equations.
openaire   +2 more sources

Bifurcation of Solution in Singularly Perturbed ODEs by Using Lyapunov Schmidt Reduction

open access: yesمجلة علوم ذي قار, 2019
This paper aims to study the bifurcation of solution in singularly perturbed ODEs:                                     the hypothesis                                                                                      the bifurcation of ...
A. H.Kamil, K. H. Yasir
doaj   +4 more sources

Boundary layer analysis for nonlinear singularly perturbed differential equations

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2011
This paper focuses on the boundary layer phenomenon arising in the study of singularly perturbed differential equations. Our tools include the method of lower and upper solutions combined with analysis of the integral equation associated with the class ...
Robert Vrabel, V. Liska, I. Mankova
doaj   +1 more source

Singularly perturbed equations of degenerate type

open access: yesAnnales de l'Institut Henri Poincaré C, Analyse non linéaire, 2017
This work is devoted to the study of nonvariational, singularly perturbed elliptic equations of degenerate type. The governing operator is anisotropic and ellipticity degenerates along the set of critical points. The singular behavior is of order \text{O}\left(\frac{1}{\epsilon }\right)
Damião J. Araújo   +2 more
openaire   +1 more source

Asymptotic Solution of the Singularly Perturbed Infinite Dimensional Riccati Equation [PDF]

open access: yes, 1997
A singularly perturbed linear-quadratic optimal control problem in an infinite dimensional Hilbert space is considered. An asymptotic solution of the corresponding operator Riccati equation is constructed. This result is illustrated by its application to
Glizer, Valery Y.
core   +1 more source

Strongly interacting bumps for the schrodinger-newton equations [PDF]

open access: yes, 2009
We study concentrated bound states of the Schrodinger-Newton equations Moroz, Penrose and Tod proved the existence and uniqueness of ground states.
Winter, M, Wei, J
core   +1 more source

Existence of Kink and Antikink Wave Solutions of Singularly Perturbed Modified Gardner Equation

open access: yesMathematics
In this paper, the singularly perturbed modified Gardner equation is considered. Firstly, for the unperturbed equation, under certain parameter conditions, we obtain the exact expressions of kink wave solution and antikink wave solution by using the ...
Weifang Yan, Linlin Wang, Min Zhang
doaj   +1 more source

On The Two Dimensional Gierer-Meinhardt system with strong coupling [PDF]

open access: yes, 1999
We construct solutions with a single interior condensation point for the two-dimensional Gierer-Meinhardt system with strong coupling. The condensation point is located at a nondegenerate critical point of the diagonal part of the regular part
Winter, M, Wei, J
core   +2 more sources

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