Results 51 to 60 of about 78,497 (174)

Numerical treatment of singular perturbation problems exhibiting dual boundary layers

Ain Shams Engineering Journal, 2015
In this paper, we employed a fitted operator finite difference method on a uniform mesh for solving singularly perturbed two-point boundary value problems exhibiting dual boundary layers.
K. Phaneendra, S. Rakmaiah, M. Chenna Krishna Reddy   +2 more
doaj   +1 more source

Spline‐Based Computational Technique for Singularly Perturbed Fredholm Integro‐Differential Problems

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
In this work, using a spline‐based discretization, we develop a computational approach for singularly perturbed Fredholm integro‐differential equations. The scheme addresses the challenges of the singular perturbation parameter ϵ through a tension and compression spline technique, coupled with Simpson’s rule for quadrature approximations.
Rajagopal S., Dinesh Kumar S., Patricia J. Y. Wong   +2 more
wiley   +1 more source

Cuckoo Search Optimized Fractional Physics‐Informed Neural Networks for Fourth‐Order Time‐Fractional Partial Differential Equations

Journal of Mathematics, Volume 2026, Issue 1, 2026.
Time‐fractional fourth‐order partial differential equations (PDEs) are typically important in the modeling of complex physical systems that have long‐memory effects and high‐order transverse spatial interaction. The paper presents a new hybrid method, called the Cuckoo Search–optimized fractional physics‐informed neural network (fPINN‐CS), that, to the
Ali Alkhathlan, Faris Kateb, Tauqeer Ahmad, Muhammad Sulaiman, Mohammed Abdullah Salman, Smritijit Sen   +5 more
wiley   +1 more source

A Hybrid Fitted Mesh Numerical Scheme for Solving Singularly Perturbed Reaction–Diffusion Equation With Mixed Shifts

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This study develops a robust hybrid numerical scheme for a class of time‐dependent, singularly perturbed differential‐difference equations characterized by a small positive parameter multiplying the highest order derivative term and mixed spatial shifts (delay and advance) in the reaction terms.
Ababi H. Ejere, Gemechis F. Duressa, Mesfin M. Woldaregay, Tekle G. Dinka, Smritijit Sen   +4 more
wiley   +1 more source

Singular Perturbation of Nonlinear Systems with Regular Singularity

Discrete Dynamics in Nature and Society, 2018
We extend Balser-Kostov method of studying summability properties of a singularly perturbed inhomogeneous linear system with regular singularity at origin to nonlinear systems of the form εzf′=Fε,z,f with F a Cν-valued function, holomorphic in a polydisc
Domingos H. U. Marchetti, William R. P. Conti   +1 more
doaj   +1 more source

Analytical Solutions and Computer Modeling of a Boundary Value Problem for a Nonstationary System of Nernst–Planck–Poisson Equations in a Diffusion Layer

Mathematics
This article proposes various new approximate analytical solutions of the boundary value problem for the non-stationary system of Nernst–Planck–Poisson (NPP) equations in the diffusion layer of an ideally selective ion-exchange membrane at overlimiting ...
Savva Kovalenko, Evgenia Kirillova, Vladimir Chekanov, Aminat Uzdenova, Mahamet Urtenov   +4 more
doaj   +1 more source

Bifurcation diagrams for singularly perturbed system: the multi-dimensional case.

Electronic Journal of Qualitative Theory of Differential Equations, 2013
We consider a singularly perturbed system where the fast dynamics of the unperturbed problem exhibits a trajectory homoclinic to a critical point. We assume that the slow time system admits a unique critical point, which undergoes a bifurcation as a ...
Matteo Franca
doaj   +1 more source

A stochastic numerical approach for a class of singular singularly perturbed system. [PDF]

PLoS One, 2022
Sabir Z, Botmart T, Raja MAZ, Weera W, Erdoğan F.   +4 more
europepmc   +1 more source

CONTROLLABILITY OF ESSENTIALLY VARIOUS-SPEED SINGULARLY PERTURBED DYNAMIC SYSTEMS

Наука и техника, 2013
The paper considers the controllability problem of essentially various-speed singularly perturbed dynamic system consisting of three subsystems of different dimensions, containing a small parameter to a variable degree as a multiplier for derivatives ...
T. B. Kopeikina, A. V. Grekova
doaj  

Conditions of Functional Null Controllability for Some Types of Singularly Perturbed Nonlinear Systems with Delays

Axioms, 2019
Two types of singularly-perturbed nonlinear time delay controlled systems are considered. For these systems, sufficient conditions of the functional null controllability are derived.
Valery Y. Glizer
doaj   +1 more source