Results 1 to 10 of about 1,207 (165)
Singularly perturbed dynamics of the tippedisk. [PDF]
Proc Math Phys Eng Sci, 2021 The tippedisk is a mathematical-mechanical archetype for a peculiar friction-induced instability phenomenon leading to the inversion of an unbalanced spinning disc, being reminiscent of (but different from) the well-known inversion of the tippetop.
Sailer S, Leine RI.
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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
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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 +2 more
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Second-order robust finite difference method for singularly perturbed Burgers' equation [PDF]
Heliyon, 2022 In this paper, a second-order robust method for solving singularly perturbed Burgers' equation were presented. To find the numerical approximation, we apply the quasilinearization technique before formulation of the scheme.
Masho Jima Kabeto, Gemechis File Duressa
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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
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Mathematics, 2023 This review paper contains computational methods or solution methodologies for singularly perturbed differential difference equations with negative and/or positive shifts in a spatial variable.
Gemechis File Duressa +2 more
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A generalized regularization scheme for solving singularly perturbed parabolic PDEs
Partial Differential Equations in Applied Mathematics, 2022 Many problems in science and engineering can be modeled as singularly perturbed partial differential equations. Solutions to such problems are not generally continuous with respect to the perturbation parameter(s) and hence developing stable and ...
M.P. Rajan, G.D. Reddy
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Singularly perturbed profiles [PDF]
IMA Journal of Applied Mathematics, 2018 18 pages, 5 ...
Bykov, V. +4 more
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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
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Event-Based State Estimation for Networked Singularly Perturbed Complex Networks
Complexity, 2022 This paper deals with the multievent-triggering-based state estimation for a class of discrete-time networked singularly perturbed complex networks (SPCNs). A small singularly perturbed scalar is adopted to establish a discrete-time SPCNs model.
Zerong Ren
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