Results 11 to 20 of about 10,372 (181)
Quintic B-Spline Technique for Numerical Treatment of Third Order Singular Perturbed Delay Differential Equation [PDF]
International Journal of Mathematical, Engineering and Management Sciences, 2019 In this paper, a class of third order singularly perturbed delay differential equation with large delay is considered for numerical treatment. The considered equation has discontinuous convection-diffusion coefficient and source term.
Mandeep Kaur Vaid, Geeta Arora
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Existence and Concentration Behavior of Solutions of the Critical Schrödinger–Poisson Equation in
Mathematics, 2021 In this paper, we study the singularly perturbed problem for the Schrödinger–Poisson equation with critical growth. When the perturbed coefficient is small, we establish the relationship between the number of solutions and the profiles of the ...
Jichao Wang, Ting Yu
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Ain Shams Engineering Journal, 2018 In this paper, an hybrid initial value method on Shishkin mesh is suggested to solve singularly perturbed boundary value problem for second order ordinary delay differential equation with discontinuous convection coefficient and source term.
V. Subburayan
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Application of the averaging method to the gyrokinetic plasma [PDF]
, 2006 we show that the solution to an oscillatory-singularly perturbed ordinary differential equation may be asymptotically expanded into a sum of oscillating terms.
Frenod, Emmanuel
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Exponentially fitted tension spline method for singularly perturbed differential difference equations [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2021 In this article, singularly perturbed differential difference equations having delay and advance in the reaction terms are considered. The highest-order derivative term of the equation is multiplied by a perturbation parameter ε taking arbitrary values ...
M.M. Woldaregay, G.F. Duressa
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Maximum norm a posteriori error estimate for a 2d singularly perturbed semilinear reaction-diffusion problem [PDF]
, 2008 A singularly perturbed semilinear reaction-diffusion equation, posed in the unit square, is discretized on arbitrary nonuniform tensor-product meshes. We establish a second-order maximum norm a posteriori error estimate that holds true uniformly in the ...
Bakhvalov N. S., Natalia Kopteva
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Journal of Applied Mathematics, 2014 We are concerned with the singularly perturbed Boussinesq-type equation including the singularly perturbed sixth-order Boussinesq equation, which describes the bidirectional propagation of small amplitude and long capillary-gravity waves on the surface ...
Changming Song, Jina Li, Ran Gao
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Periodic Solutions in Slowly Varying Discontinuous Differential Equations: The Generic Case
Mathematics, 2021 We study persistence of periodic solutions of perturbed slowly varying discontinuous differential equations assuming that the unperturbed (frozen) equation has a non singular periodic solution.
Flaviano Battelli, Michal Fečkan
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Asymptotic and chaotic solutions of a singularly perturbed Nagumo-type equation [PDF]
, 2015 We deal with the singularly perturbed Nagumo-type equation $$ \epsilon^2 u'' + u(1-u)(u-a(s)) = 0, $$ where $\epsilon > 0$ is a real parameter and $a: \mathbb{R} \to \mathbb{R}$ is a piecewise constant function satisfying $0 < a(s) < 1$ for all $s$.
Boscaggin, Alberto +2 more
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Singularly perturbed 1D Cahn–Hilliard equation revisited [PDF]
Nonlinear Differential Equations and Applications NoDEA, 2010 Let \(\Omega:=(0,L)\). The singularly perturbed problem with \(\Omega\)-periodic unknown function \(\rho\) \[ \epsilon\,\rho_{tt}+\rho_t+N(\alpha N \rho_+ f'(\rho))=0, \;\rho|_{t=0}=\rho_0, \;\rho_t|_{t=0}=\rho_1 \tag{\(P_{\epsilon}\)} \] and corresponding to it unperturbed problem \(P_0\) are considered.
A. Bonfoh +2 more
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