Singularly perturbed problems - Open Access .click

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.
Nurettin Doğan +3 more
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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
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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 ...
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singular perturbation
singular perturbations in context of pdes
singularly perturbed

analysis
boundary layer
mathematics

applied mathematics
singular perturbations
boundary value problem