Results 41 to 50 of about 1,325 (149)
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.This work investigates the solution of convection‐diffusion parabolic partial‐differential problems with boundary turning points that are singularly perturbed. These types of problems are stiff for the following reason: the small parameter multiplying coefficient of the diffusion term and the presence of boundary turning points.
Yimesgen Mehari Kebede +3 more
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Advances in Mathematical Physics, 2014 This paper investigates the unsteady hydromagnetic-free convection of an incompressible electrical conducting Boussinesq’s radiating fluid past a moving vertical plate in an optically thin environment with the Navier slip, viscous dissipation, and Ohmic ...
O. D. Makinde, M. S. Tshehla
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Advances in Difference Equations, 2018 In this paper, we propose a numerical scheme for a system of two linear singularly perturbed parabolic convection-diffusion equations. The presented numerical scheme consists of a classical backward-Euler scheme on a uniform mesh for the time ...
Li-Bin Liu, Guangqing Long, Yong Zhang
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A parabolic approach to the control of opinion spreading
, 2019 We analyze the problem of controlling to consensus a nonlinear system modeling opinion spreading. We derive explicit exponential estimates on the cost of approximately controlling these systems to consensus, as a function of the number of agents N and ...
B Piccoli +18 more
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Stability of flat interfaces during semidiscrete solidification [PDF]
ESAIM: Mathematical Modelling and Numerical Analysis, 2002 Summary: The stability of flat interfaces with respect to a spatial semidiscretization of a solidification model is analyzed. The considered model is the quasi-static approximation of the Stefan problem with dynamical Gibbs-Thomson law. The stability analysis bases on an argument developed by Mullins and Sekerka for the undiscretized case. The obtained
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A Uniformly Convergent Scheme for Singularly Perturbed Unsteady Reaction–Diffusion Problems
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.In the present work, a class of singularly perturbed unsteady reaction–diffusion problem is considered. With the existence of a small parameter ε, (0 < ε ≪ 1) as a coefficient of the diffusion term in the proposed model problem, there exist twin boundary layer regions near the left end point x = 0 and right end point x = 1 of the spatial domain.
Amare Worku Demsie +3 more
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International Journal of Differential Equations, 2015 We propose a block hybrid trigonometrically fitted (BHT) method, whose coefficients are functions of the frequency and the step-size for directly solving general second-order initial value problems (IVPs), including systems arising from the ...
F. F. Ngwane, S. N. Jator
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Measurement-Based Modal Analysis and Stability Prediction on Turn-Milling of Hollow Turbine Blade
Shock and Vibration, 2020 Hollow blades with honeycomb structures are increasingly used in the turbine engines for reducing weight and saving costs. The hollow blade is a typical thin-walled structural part with low stiffness, the machining system of which is often unstable and ...
Zhengcai Zhao, Junming Hou, Yucan Fu
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Finite and Infinitesimal Flexibility of Semidiscrete Surfaces [PDF]
Arnold Mathematical Journal, 2015 In this paper we study infinitesimal and finite flexibility for generic semidiscrete surfaces. We prove that generic 2-ribbon semidiscrete surfaces have one degree of infinitesimal and finite flexibility. In particular we write down a system of differential equations describing isometric deformations in the case of existence.
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Journal of Mathematics, Volume 2025, Issue 1, 2025.This paper provides numerical solutions to a class of singularly perturbed differential–difference equations characterized by mixed shift parameters. The solutions of such problems exhibit sharp boundary layers near the endpoints of the spatial domain due to the presence of a small perturbation parameter ε(0 < ε ≪ 1).
Amare Worku Demsie +3 more
wiley +1 more source