Results 21 to 30 of about 566 (183)

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
doaj   +1 more source

Existence and Concentration Behavior of Solutions of the Critical Schrödinger–Poisson Equation in ${\mathbb{R}}^3$

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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An hybrid initial value method for singularly perturbed delay differential equations with interior layers and weak boundary layer

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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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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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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Nonexistence of Global Solutions to the Initial Boundary Value Problem for the Singularly Perturbed Sixth-Order Boussinesq-Type Equation

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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Melnikov Analysis for a Singularly Perturbed DSII Equation [PDF]

Studies in Applied Mathematics, 2005
Rigorous Melnikov analysis is accomplished for Davey–Stewartson II equation under singular perturbation. Unstable fiber theorem and center‐stable manifold theorem are established. The fact that the unperturbed homoclinic orbit, obtained via a Darboux transformation, is a classical solution, leads to the conclusion that only local well posedness is ...
openaire   +3 more sources

Fitted cubic spline in tension difference scheme for two-parameter singularly perturbed delay parabolic partial differential equations

Partial Differential Equations in Applied Mathematics, 2023
A numerical study of a two-parameter singularly perturbed time-delay parabolic equation has been initiated. The proposed technique is based on a fitted operator finite difference scheme.
Naol Tufa Negero
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Exponential stability for singularly perturbed systems with state delays

Electronic Journal of Qualitative Theory of Differential Equations, 2000
In this paper the problem of stability of the zero solution of singularly perturbed system of linear differential equation with state delays is investigated.
V. Dragan, A. Ionita
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An exponentially fitted finite difference scheme for a class of singularly perturbed delay differential equations with large delays

Ain Shams Engineering Journal, 2017
This paper deals with singularly perturbed boundary value problem for a linear second order delay differential equation. It is known that the classical numerical methods are not satisfactory when applied to solve singularly perturbed problems in delay ...
P. Pramod Chakravarthy, S. Dinesh Kumar, R. Nageshwar Rao   +2 more
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