Results 11 to 20 of about 101 (97)

Time delays and pollution in an open‐access fishery

Natural Resource Modeling, Volume 36, Issue 2, May 2023., 2023
Abstract We analyze the impacts of pollution on fishery sector using a dynamical system approach. The proposed model presupposes that the economic development causes emissions that either remediate or accumulate in the oceans. The model possesses a block structure where the solutions of the rate equations for the pollutant and the economic activity act
Harald Bergland, Purnedu Mishra, Pål Andreas Pedersen, Arkadi Ponossov, John Wyller   +4 more
wiley   +1 more source

Integrated Stochastic Investigation of Singularly Perturbed Delay Differential Equations for the Neuronal Variability Model

International Journal of Intelligent Systems, Volume 2023, Issue 1, 2023., 2023
The proposed research utilizes a computational approach to attain a numerical solution for the singularly perturbed delay differential equation (SPDDE) problem arising in the neuronal variability model through artificial neural networks (ANNs) with different solvers. The log‐sigmoid function is used to construct the fitness function. The implementation
Iftikhar Ahmad, Syed Ibrar Hussain, Hira Ilyas, Layouni Zoubir, Mariam Javed, Muhammad Asif Zahoor Raja, Vasudevan Rajamohan   +6 more
wiley   +1 more source

Nonpolynomial Spline Method for Singularly Perturbed Time‐Dependent Parabolic Problem with Two Small Parameters

Mathematical Problems in Engineering, Volume 2023, Issue 1, 2023., 2023
This study deals with the numerical solution of parabolic convection‐diffusion problems involving two small positive parameters and arising in modeling of hydrodynamics. To approximate the solution, the backward Euler method for time stepping and fitted trigonometric‐spline scheme for spatial discretization are considered on uniform meshes.
Tariku Birabasa Mekonnen, Gemechis File Duressa, Francisco Ureña   +2 more
wiley   +1 more source

Parameter‐uniform numerical methods for singularly perturbed linear transport problems

Mathematical Methods in the Applied Sciences, Volume 45, Issue 17, Page 11224-11245, 30 November 2022., 2022
Pointwise accurate numerical methods are constructed and analysed for three classes of singularly perturbed first order transport problems. The methods involve piecewise‐uniform Shishkin meshes and the numerical approximations are shown to be parameter‐uniformly convergent in the maximum norm.
José Luis Gracia, Adrian Navas‐Montilla, Eugene O'Riordan   +2 more
wiley   +1 more source

Approximate Analytical Solution to Nonlinear Delay Differential Equations by Using Sumudu Iterative Method

Advances in Mathematical Physics, Volume 2022, Issue 1, 2022., 2022
In this study, an efficient analytical method called the Sumudu Iterative Method (SIM) is introduced to obtain the solutions for the nonlinear delay differential equation (NDDE). This technique is a mixture of the Sumudu transform method and the new iterative method.
Asfaw Tsegaye Moltot, Alemayehu Tamirie Deresse, S. A. Edalatpanah   +2 more
wiley   +1 more source

Local RBF‐FD‐Based Mesh‐free Scheme for Singularly Perturbed Convection‐Diffusion‐Reaction Models with Variable Coefficients

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
This work analyze singularly perturbed convection‐diffusion‐reaction (CDR) models with two parameters and variable coefficients by developing a mesh‐free scheme based on local radial basis function‐finite difference (LRBF‐FD) approximation. In the evolvement of the scheme, time derivative is discretized by forward finite difference. After that, LRBF‐FD
Ram Jiwari, Sukhveer Singh, Paramjeet Singh, Antonio Di Crescenzo   +3 more
wiley   +1 more source

A Novel Highly Nonlinear Quadratic System: Impulsive Stabilization, Complexity Analysis, and Circuit Designing

Complexity, Volume 2022, Issue 1, 2022., 2022
This work introduces a three‐dimensional, highly nonlinear quadratic oscillator with no linear terms in its equations. Most of the quadratic ordinary differential equations (ODEs) such as Chen, Rossler, and Lorenz have at least one linear term in their equations.
Arthanari Ramesh, Alireza Bahramian, Hayder Natiq, Karthikeyan Rajagopal, Sajad Jafari, Iqtadar Hussain, M. De Aguiar   +6 more
wiley   +1 more source

The Solutions of Legendre’s and Chebyshev’s Differential Equations by Using the Differential Transform Method

Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022
Chebyshev’s and Legendre’s differential equations’ solutions are solved employing the differential transform method (DTM) and the power series method (PSM) in this study. This research shows that this method is efficient and effective in discovering Chebyshev’s and Legendre’s differential equation (DE) series solutions and that it can reduce ...
A. M. Alotaibi, M. A. El-Moneam, Badr S. Badr, Libor Pekař   +3 more
wiley   +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

Boundary Value Problem of Magnetically Insulated Diode: Existence of Solutions and Complex Bifurcation

Известия Иркутского государственного университета: Серия "Математика"
The paper focuses on the stationary self-consistent problem of magnetic insulation for a vacuum diode with space-charge limitation, described by a singularly perturbed Vlasov-Maxwell system of dimension 1.5. The case of insulated diode when the electrons
D.N. Sidorov, A. V. Sinitsyn, O. D. T. Leguizamon, L. Wang   +3 more
doaj   +1 more source