Results 1 to 10 of about 19,649 (184)
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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Singularly perturbed boundary-focus bifurcations [PDF]
Journal of Differential Equations, 2021 We consider smooth systems limiting as $ \to 0$ to piecewise-smooth (PWS) systems with a boundary-focus (BF) bifurcation. After deriving a suitable local normal form, we study the dynamics for the smooth system with $0 < \ll 1$ using a combination of geometric singular perturbation theory and blow-up.
Samuel Jelbart +2 more
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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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Singularly perturbed boundary-equilibrium bifurcations
Nonlinearity, 2021 Boundary equilibria bifurcation (BEB) arises in piecewise-smooth systems when an equilibrium collides with a discontinuity set under parameter variation. Singularly perturbed BEB refers to a bifurcation arising in singular perturbation problems which limit as some $ \to 0$ to piecewise-smooth (PWS) systems which undergo a BEB.
S Jelbart +2 more
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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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