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A weighted and balanced FEM for singularly perturbed reaction-diffusion problems
, 2021Niall Madden, M. Stynes
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Journal of Applied Mathematics and Computation, 2021
G. Babu, Komal Bansal
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G. Babu, Komal Bansal
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Communications in nonlinear science & numerical simulation, 2021
D. Lukyanenko +2 more
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D. Lukyanenko +2 more
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Singularly Perturbed Initial Value Problems
1991Readers should refer to Murray (1977) and to earlier chemical engineering literature [especially Bowen et al. (1963) and Heinekin et al. (1967)] for experts’ explanations of the significance of the pseudo-steady-state hypothesis in biochemistry. The theory of Michaelis and Menton (1913) and Briggs and Haldane (1925) concerns a substrate S being ...
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A Parameter Robust Finite Element Method for Fourth Order Singularly Perturbed Problems
Comput. Methods Appl. Math., 2017C. Xenophontos
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Singularly perturbed problems with double singularity
Mathematical Notes, 1997The author deals with systems of linear differential equations \[ \varepsilon^{m_1}\bigl(\delta_0(x)+\varepsilon\bigr)^{m_2}{dy\over dx}=A(x,\varepsilon)y+f(x), \] with \(\delta_0(x)>0\) for \(x\in(0,1)\), \(\delta_0 (0)=\delta_0(1)=0\), \(m_1,m_2\) are positive integers (which determine the two singularities \(x=0\) and \(x=1\), respectively) and the ...
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Stability of a singularly perturbed problem
Differential Equations, 2012In this paper the author studies stability of the system of telegraph equations under perturbation of one boundary condition and in the presence of small regular perturbations. The investigation employs some ideas of A. N. Tikhonov which he introduced in the analysis of singularly perturbed systems.
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Finite Element Analysis of an Exponentially Graded Mesh for Singularly Perturbed Problems
Comput. Methods Appl. Math., 2015P. Constantinou, C. Xenophontos
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