Results 31 to 40 of about 10,372 (181)

Asymptotic estimates of the solution of the boundary value problem for singularly perturbed integro-differential equations

Вестник КазНУ. Серия математика, механика, информатика, 2020
The mathematical models of many processes in physics, astrophysics, chemistry, biology, mechanics and technology are differential and integro-differential equations containing small parameters at the highest derivatives.
M. Dauylbayev, N. Aviltay, B. Kadirbekov
doaj   +1 more source

The Asymptotics of Solutions of a Singularly Perturbed Equation with a of Fractional Turning Point

Известия Иркутского государственного университета: Серия "Математика", 2017
We develop the classical Vishik – Lyusternik – Vasil’eva – Imanaliev boundary-value method for constructing uniform asymptotic expansions of solutions of singularly perturbed equations with singular points.
D. A. Tursunov, K. G. Kozhobekov
doaj   +1 more source

Singularly perturbed degenerated parabolic equations and application to seabed morphodynamics in tided environment [PDF]

, 2010
In this paper we build models for short-term, mean-term and long-term dynamics of dune and megariple morphodynamics. They are models that are degenerated parabolic equations which are, moreover, singularly perturbed.
Faye, Ibrahima, Frenod, Emmanuel, Seck, Diaraf   +2 more
core   +6 more sources

A Class of Shock Wave Solution to Singularly Perturbed Nonlinear Time-Delay Evolution Equations

Shock and Vibration, 2020
Nonlinear singularly perturbed problem for time-delay evolution equation with two parameters is studied. Using the variables of the multiple scales method, homogeneous equilibrium method, and approximation expansion method from the singularly perturbed ...
Yi-Hu Feng, Lei Hou
doaj   +1 more source

Robust numerical method for singularly perturbed differential equations with large delay

Demonstratio Mathematica, 2021
In this paper, a singularly perturbed differential equation with a large delay is considered. The considered problem contains a large delay parameter on the reaction term. The solution of the problem exhibits the interior layer due to the delay parameter
Abdulla Murad Ibrahim, Duressa Gemechis File, Debela Habtamu Garoma   +2 more
doaj   +1 more source

Numerical Integration of a Class of Singularly Perturbed Delay Differential Equations with Small Shift

International Journal of Differential Equations, 2012
We have presented a numerical integration method to solve a class of singularly perturbed delay differential equations with small shift. First, we have replaced the second-order singularly perturbed delay differential equation by an asymptotically ...
Gemechis File, Y. N. Reddy
doaj   +1 more source

Computational method for singularly perturbed delay differential equations with twin layers or oscillatory behaviour

Ain Shams Engineering Journal, 2015
In this paper, we have presented a computational method for solving singularly perturbed delay differential equations with twin layers or oscillatory behaviour. In this method, the original second order singularly perturbed delay differential equation is
D. Kumara Swamy, K. Phaneendra, A. Benerji Babu, Y.N. Reddy   +3 more
doaj   +1 more source

Error estimations of a weak Galerkin finite element method for a linear system of $ \ell\geq 2 $ coupled singularly perturbed reaction-diffusion equations in the energy and balanced norms

AIMS Mathematics, 2023
This paper introduces a weak Galerkin finite element method for a system of $ \ell\geq 2 $ coupled singularly perturbed reaction-diffusion problems. The proposed method is independent of parameter and uses piecewise discontinuous polynomials on interior ...
Şuayip Toprakseven , Seza Dinibutun
doaj   +1 more source

Period Doubling in Singularly Perturbed Delay Equations

Journal of Differential Equations, 1994
The authors consider periodic solutions of the delay differential equation \((\epsilon> 0)\) \(\epsilon x'(t)= -x(t)+ f(x(t- 1),\lambda)\) assuming that \(\lambda= 0\) corresponds to a generic period doubling for the map \(x\to f(x, 0)\). Specifically, it is assumed that \[ f(x, \lambda)= -(1+ \lambda) x+ ax^ 2+ bx^ 3+ o(x^ 3),\quad x\to 0, \] where ...
Hale, J.K., Huang, W.Z.
openaire   +2 more sources

Laterally Oriented Dendritic Passivation via In Situ Zn Reconstruction for Stabilizing NiMo Catalysts under Dynamic Electrolysis

Advanced Science, EarlyView.
This study highlights the effectiveness of Zn‐induced dendrite layers in enhancing the durability of NiMo HER catalysts under dynamic electrochemical conditions. Through in situ dendritic passivation, the Zn‐NiMo catalyst preserves catalytic active sites and mitigates irreversible Ni oxidation/hydroxylation during repeated load fluctuation.
Taeyoung Jeong, Hyun‐Jae Park, Myeongjin Kim   +2 more
wiley   +1 more source