Results 81 to 90 of about 19,649 (184)

On a Partial q-Analog of a Singularly Perturbed Problem with Fuchsian and Irregular Time Singularities

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
doaj   +1 more source

Neural Ordinary Differential Equations for Model Order Reduction of Stiff Systems

International Journal for Numerical Methods in Engineering, Volume 126, Issue 12, 30 June 2025.
ABSTRACT Neural Ordinary Differential Equations (ODEs) represent a significant advancement at the intersection of machine learning and dynamical systems, offering a continuous‐time analog to discrete neural networks. Despite their promise, deploying neural ODEs in practical applications often encounters the challenge of stiffness, a condition where ...
Matteo Caldana, Jan S. Hesthaven
wiley   +1 more source

Multiplicity and concentration behaviour of solutions for a fractional Choquard equation with critical growth

Advances in Nonlinear Analysis, 2020
In this paper, we study the singularly perturbed fractional Choquard ...
Yang Zhipeng, Zhao Fukun
doaj   +1 more source

Asymptotic estimates of the solution for a singularly perturbed Cauchy problem

Қарағанды университетінің хабаршысы. Математика сериясы
The article focuses on the initial problem for a third-order linear integro-differential equation with a small parameter at the higher derivatives, assuming that the roots of the additional characteristic equation have opposite signs.
N.U. Bukanay, A.E. Mirzakulova, A.T. Assanova   +2 more
doaj   +1 more source

Solution of second-order linear system by matched asymptotic expansions [PDF]

Matched asymptotic expansions (MAE) are used to obtain a first order approximation to the solution of a singularly perturbed second order system. A special case is considered in which the uniform asymptotic solution obtained by MAE is shown to converge ...
Ardema, M. D.
core   +1 more source

The Contrast Structures for a Class of Singularly Perturbed Systems with Heteroclinic Orbits

Discrete Dynamics in Nature and Society, 2016
Singularly perturbed problems are often used as the models of ecology and epidemiology. In this paper, a class of semilinear singularly perturbed systems with contrast structures are discussed.
Han Xu, Yinlai Jin
doaj   +1 more source

Septic B-spline method for second order self-adjoint singularly perturbed boundary-value problems

Ain Shams Engineering Journal, 2018
In the present paper, we develop a septic B-spline method for solving a self-adjoint singularly perturbed two-point boundary value problem. This method is applied directly to the numerical solution of the problems without reducing its order.
Ram Kishun Lodhi, Hradyesh Kumar Mishra
doaj   +1 more source

Singularly perturbed variational problems

Journal of Mathematical Analysis and Applications, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Uniform asymptotic expansion of the solution for the initial value problem with a piecewise constant argument

Қарағанды университетінің хабаршысы. Математика сериясы
The article is devoted to the study of a singularly perturbed initial problem for a linear differential equation with a piecewise constant argument second-order for a small parameter.
A.E. Mirzakulova, K.T. Konisbayeva
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