Results 81 to 90 of about 6,844 (227)
Abstract and Applied Analysis, 2020 A family of linear singularly perturbed difference differential equations is examined. These equations stand for an analog of singularly perturbed PDEs with irregular and Fuchsian singularities in the complex domain recently investigated by A. Lastra and
Stephane Malek
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Spline‐Based Computational Technique for Singularly Perturbed Fredholm Integro‐Differential Problems
International Journal of Differential Equations, Volume 2026, Issue 1, 2026.In this work, using a spline‐based discretization, we develop a computational approach for singularly perturbed Fredholm integro‐differential equations. The scheme addresses the challenges of the singular perturbation parameter ϵ through a tension and compression spline technique, coupled with Simpson’s rule for quadrature approximations.
Rajagopal S. +2 more
wiley +1 more source
Asymptotic solutions for singularly perturbed Boussinesq equations
, 2012 We consider a family of singularly perturbed Boussinesq equations. We obtain a rational weak solution to the classical Boussinesq equation and demonstrate that this solution can be used to construct perturbation solutions for singularly perturbed high ...
Haussermann, John, Van Gorder, Robert A.
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Non-Polynomial Spline for Singularly Perturbed Differential-Difference Equation with Mixed Shifts and Layer Behavior [PDF]
International Journal of Mathematical, Engineering and Management SciencesVarious physical phenomena give rise to singularly perturbed differential equations with mixed shifts. Due to multiple parameters, singularly perturbed mixed delay boundary value problems are challenging to solve.
Shilpa Malge , Ram Kishun Lodhi
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Singularly Perturbed Networked Control Systems
IFAC-PapersOnLine, 2018 We study networked control systems (NCSs) where the controller is given by a state-feedback law and the plant is modeled by a dynamical system evolving on two time-scales, representing a characterization by some slow and fast dynamics. When using the stability analysis frameworks for NCSs from the literature, this time-scale separation is ignored and ...
Heijmans, SHJ +3 more
openaire +3 more sources
On the Gierer-Meinhardt System with Saturation
, 2004 We consider the following shadow Gierer-Meinhardt system with saturation: \left\{\begin{array}{l} A_t=\epsilon^2 \Delta A -A + \frac{A^2}{ \xi (1+k A^2)} \ \ \mbox{in} \ \Omega \times (0, \infty),\\ \tau \xi_t= -\xi +\frac{1}{|\Omega|} \int_\Om A^2 ...
Winter, M, Wei, J
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International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.The present paper addresses the numerical computation of singularly perturbed differential equations incorporating small negative shift parameters in the convection and reaction terms. Since the diffusion term is scaled by a sufficiently small parameter ε(0 < ε ≪ 1), the solution typically develops multiscale characteristics manifested through boundary
Amare Worku Demsie +3 more
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A Higher-Order Energy Expansion to Two-Dimensional Singularly Neumann Problems
, 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 $
Yeung, W-K, Winter, M, Wei, J
core
Time-periodic boundary layer solutions to singularly perturbed parabolic problems [PDF]
, 2016 In this paper, we present a result of implicit function theorem type, which was designed for application to singularly perturbed problems. This result is based on fixed point iterations for contractive mappings, in particular, no monotonicity or sign ...
Nefedov, Nikolay +6 more
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A Marchuk’s Model Analysis by Proposed Decomposition Theorem
ComputationTaking the Singularly Perturbed System (SPS) as a model of ODE system separation into fast and slow subsystems by an arbitrarily small parameter, we state and prove a theorem on the decomposition of an Ordinary Differential Equations (ODE) system without
Marina Bershadsky +2 more
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