Results 131 to 140 of about 594 (186)

Singularly perturbed fuzzy initial value problems

Expert Systems With Applications, 2023
In this work, we have firstly introduced singularly perturbed fuzzy initial value problems (SPFIVPs) and then we have given an algorithm for the solutions of them by using the extension principle given by Zadeh. We have presented some results on the behaviour of the α-cuts of the solutions.
Selâmi Bayeğ, Raziye Mert, Ömer Akin
exaly   +4 more sources

Nonsmooth regular perturbations of singularly perturbed problems

Journal of Differential Equations, 2023
In this paper, a boundary value problem for singularly and regularly perturbed quasilinear ordinary differential equations (ODEs) in divergence form is considered. More precisely, the problem under consideration is \[ \begin{aligned} -\varepsilon^2(a(x,u(x), \varepsilon)u'(x))'+b(x,u(x),\varepsilon)&=\delta g(x), \qquad x\in(-1,1),\\ u(-1)&=u'(1)=0 ...
Nikolai N. Nefedov   +3 more
openaire   +2 more sources

Analytic Regularity for a Singularly Perturbed Problem

SIAM Journal on Mathematical Analysis, 1999
Summary: A singularly perturbed equation of elliptic-elliptic type in two dimensions is considered. We assume analyticity of the input data, i.e., the boundary of the domain is an analytic curve, the boundary data are analytic, and the right-hand side is analytic.
Melenk, Jens Markus, Schwab, Christoph
openaire   +2 more sources

Discretization of the semilinear singularly perturbed problem

Nonlinear Analysis: Theory, Methods & Applications, 1997
The authors discuss the construction of a spline function for a class of singularly perturbed singular problems: \[ -\varepsilon^2 x^{2\alpha} u'' (x) + b(x,u)=0, \quad x \in (0,1), \quad u(0)=u(1)=0 \tag{1} \] with parameter \(\alpha \in [0, 0.5) \) and a perturbation parameter \(\varepsilon \in (0, \varepsilon_0 ]\), \(\varepsilon_0 \ll 1\).
Uzelac, Zorica, Surla, Katarina
openaire   +1 more source

Nodal Superconvergence of SDFEM for Singularly Perturbed Problems

Journal of Scientific Computing, 2011
The authors discuss the streamline diffusion finite element method for one dimensional singularly perturbed convection-diffusion-reaction problems. An error analysis is provided and numerical examples illustrate the sharpness of the proposed method.
Fatih Celiker   +2 more
openaire   +3 more sources

On the extrapolation for a singularly perturbed boundary value problem

Computing, 1986
See the preview in Zbl 0566.34012.
Vulanović, Relja   +2 more
openaire   +3 more sources

Singularly Perturbed Eigenvalue Problems

SIAM Journal on Applied Mathematics, 1987
This paper is concerned with eigenvalue problems of singularly perturbed linear ordinary differential equations. A common way to treat such problems is to derive an approximating eigenvalue problem by the use of matched asymptotic expansions. It is shown that under appropriate assumptions a domain in the complex plane can be identified, in which the ...
openaire   +2 more sources

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