Results 161 to 170 of about 54,244 (231)
The Inheritance of Local Bifurcations in Mass Action Networks. [PDF]
J Nonlinear SciBanaji M, Boros B, Hofbauer J.
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Mathematical methods in the applied sciences, 2021
In this work, we consider a graded mesh refinement algorithm for solving time‐delayed parabolic partial differential equations with a small diffusion parameter. The presence of this parameter leads to boundary layer phenomena.
Kamalesh Kumar +3 more
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In this work, we consider a graded mesh refinement algorithm for solving time‐delayed parabolic partial differential equations with a small diffusion parameter. The presence of this parameter leads to boundary layer phenomena.
Kamalesh Kumar +3 more
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Singularly perturbed fuzzy initial value problems
Expert Systems with Applications, 2023In 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, 2023In 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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Interior Layers in Singularly Perturbed Problems
, 2016To construct layer adapted meshes for a class of singularly perturbed problems, whose solutions contain boundary layers, it is necessary to identify both the location and the width of any boundary layers present in the solution. Additional interior layers can appear when the data for the problem is not sufficiently smooth.In the context of singularly ...
E. O'Riordan
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Mathematical methods in the applied sciences, 2020
This work is concerned with the development of a stable finite difference method (SFDM) for time‐fractional singularly perturbed convection–diffusion problems with a delay in time. The fractional derivative is considered in the Caputo sense.
Kamalesh Kumar +2 more
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This work is concerned with the development of a stable finite difference method (SFDM) for time‐fractional singularly perturbed convection–diffusion problems with a delay in time. The fractional derivative is considered in the Caputo sense.
Kamalesh Kumar +2 more
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International Journal of Computational Mathematics, 2020
A trigonometric quintic B-spline method is proposed for the solution of a class of turning point singularly perturbed boundary value problems (SP-BVPs) whose solution exhibits either twin boundary layers near both endpoints of the interval of ...
Mohammad Prawesh Alam +2 more
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A trigonometric quintic B-spline method is proposed for the solution of a class of turning point singularly perturbed boundary value problems (SP-BVPs) whose solution exhibits either twin boundary layers near both endpoints of the interval of ...
Mohammad Prawesh Alam +2 more
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Singularly Perturbed Eigenvalue Problems
SIAM Journal on Applied Mathematics, 1987This 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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International Journal for Numerical Methods in Fluids, 2020
In this article, we consider a class of singularly perturbed differential equations of convection‐diffusion type with nonlocal boundary conditions. A uniformly convergent numerical method is constructed via nonstandard finite difference and numerical ...
H. Debela, G. Duressa
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In this article, we consider a class of singularly perturbed differential equations of convection‐diffusion type with nonlocal boundary conditions. A uniformly convergent numerical method is constructed via nonstandard finite difference and numerical ...
H. Debela, G. Duressa
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Singularly Perturbed Semilinear Robin Problems
Studies in Applied Mathematics, 1982Several phenomena of current interest in catalytic reaction theory can be phrased in terms of solutions of singularly perturbed, second‐order, semilinear differential equations satisfying boundary conditions of Robin type. This paper offers a mathematical theory for such problems in both the scalar and the vector case, and treats some examples ...
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