Results 31 to 40 of about 13,060 (202)

An efficient adaptive grid method for a system of singularly perturbed convection-diffusion problems with Robin boundary conditions

open access: yesAdvances in Difference Equations, 2021
A system of singularly perturbed convection-diffusion equations with Robin boundary conditions is considered on the interval [ 0 , 1 ] $[0,1]$ . It is shown that any solution of such a problem can be expressed to a system of first-order singularly ...
Li-Bin Liu   +3 more
doaj   +1 more source

Error analysis of a variational multiscale stabilization for convection-dominated diffusion equations in 2d [PDF]

open access: yes, 2016
We formulate a stabilized quasi-optimal Petrov-Galerkin method for singularly perturbed convection-diffusion problems based on the variational multiscale method.
Li, Guanglian   +2 more
core   +3 more sources

Multi-Bump Standing Waves for Nonlinear Schrödinger Equations with a General Nonlinearity: The Topological Effect of Potential Wells

open access: yesAdvanced Nonlinear Studies, 2021
In this article, we are interested in multi-bump solutions of the singularly perturbed ...
Jin Sangdon
doaj   +1 more source

A singularly perturbed Cauchy problem

open access: yesJournal of Mathematical Analysis and Applications, 1979
Singular perturbations are considered for the initial value problem for second order hyperbolic equations with a small positive parameter multiplying the second order time derivative term. Thus, in contrast to recent work of de Jager and Geel, the reduced equation is of the same order as the original equation but of a different type.
Hsiao, George C., Weinacht, Richard J.
openaire   +1 more source

Asymptotic convergence of the solution for singularly perturbed boundary value problem with boundary jumps

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2018
The article is devoted to study of boundary value problem with boundary jumps for third order linear integro-differential equation with a small parameter at the highest derivatives, provided that additional characteristic equation’s roots have opposite ...
A.E. Mirzakulova   +3 more
doaj   +1 more source

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

open access: yesВестник 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

A boundary jumps phenomenon in the integral boundary value problem for singularly perturbed differential equations

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2020
The article is devoted to the study of the asymptotic behavior of solving an integral boundary value problem for a third - order linear differential equation with a small parameter for two higher derivatives, provided that the roots of the "additional ...
N.U. Bukanay   +3 more
doaj  

Exponential Collocation Method for Solutions of Singularly Perturbed Delay Differential Equations

open access: yesAbstract and Applied Analysis, 2013
This paper deals with the singularly perturbed delay differential equations under boundary conditions. A numerical approximation based on the exponential functions is proposed to solve the singularly perturbed delay differential equations.
Şuayip Yüzbaşı, Mehmet Sezer
doaj   +1 more source

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

open access: yesИзвестия 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

A singularly perturbed Kirchhoff problem revisited [PDF]

open access: yesJournal of Differential Equations, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Gongbao   +5 more
openaire   +2 more sources

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