Results 91 to 100 of about 12,351 (211)

Singularly perturbed linear boundary value problems

Journal of Mathematical Analysis and Applications, 1992
Two-points boundary value problems are considered for singularly perturbed linear differential systems with multiple parameters. The system is decoupled through a non-singular transformation. Approximate solutions of the original system are found in terms of the solutions of an auxiliary system corresponding to the decoupled one.
Kathirkamanayagan, M, Ladde, G.S
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A Higher-Order Energy Expansion to Two-Dimensional Singularly Neumann Problems [PDF]

, 2005
Of concern is the following singularly perturbed semilinear elliptic problem \begin{equation*} \left\{ \begin{array}{c} \mbox{${\epsilon}^2\Delta u -u+u^p =0$ in $\Omega$}\\ \mbox{$u>0$ in $\Omega$ and $
Wei, J, Winter, M, Yeung, W-K
core  

Robust Error Estimation for Singularly Perturbed Fourth Order Problems

Моделирование и анализ информационных систем, 2016
We consider two-dimensional singularly perturbed fourth order problems and estimate on properly constructed layer-adapted errors of a mixed method in the associated energy norms and balanced norms. This paper is a shortened version of [4].
S. Franz, R. H.-G.
doaj   +1 more source

Numerical methods for stiff systems of two-point boundary value problems [PDF]

Numerical procedures are developed for constructing asymptotic solutions of certain nonlinear singularly perturbed vector two-point boundary value problems having boundary layers at one or both endpoints.
Flaherty, J. E., Omalley, R. E., Jr.
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A Singularly Perturbed Nonlinear Boundary Value Problem

Journal of Mathematical Analysis and Applications, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Analytical Solutions and Computer Modeling of a Boundary Value Problem for a Nonstationary System of Nernst–Planck–Poisson Equations in a Diffusion Layer

Mathematics
This article proposes various new approximate analytical solutions of the boundary value problem for the non-stationary system of Nernst–Planck–Poisson (NPP) equations in the diffusion layer of an ideally selective ion-exchange membrane at overlimiting ...
Savva Kovalenko, Evgenia Kirillova, Vladimir Chekanov, Aminat Uzdenova, Mahamet Urtenov   +4 more
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Mixed finite difference method for singularly perturbed differential difference equations with mixed shifts via domain decomposition

Ain Shams Engineering Journal, 2018
In this paper, a mixed finite difference method is proposed to solve singularly perturbed differential difference equations with mixed shifts, solutions of which exhibit boundary layer behaviour at the left end of the interval using domain decomposition.
Lakshmi Sirisha, K. Phaneendra, Y.N. Reddy   +2 more
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Fourth-order fitted mesh scheme for semilinear singularly perturbed reaction-diffusion problems. [PDF]

BMC Res Notes, 2023
Reda BT, Bullo TA, Duressa GF.
europepmc   +1 more source

Singularly Perturbed Higher Order Boundary Value Problems

Journal of Differential Equations, 1994
The author considers the boundary value problem \(\varepsilon^ 2\cdot y^{(n)}= f(x,y,\dots, y^{(n-3)},y^{(n-2)})\), \(n\geq 3\), \({\mathcal B}y= 0\), \({\mathcal L}y= 0\), \(x\in \langle 0,1\rangle\), where \(\varepsilon> 0\), \(y^{(i)}= (d^ i/dt^ i)y\), \(f= f(x,z,v)\), \(f: \langle 0,1\rangle\times \mathbb{R}^{n-2}\times \mathbb{R}\to \mathbb{R}\), \
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Some singular singularly perturbed problems

, 1997
Bibliography: p. 73-75.
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