Results 91 to 100 of about 421,152 (262)

Advanced Fitted Mesh Finite Difference Strategies for Solving ‘n’ Two-Parameter Singularly Perturbed Convection–Diffusion System

Axioms
This paper proposes a robust finite difference method on a fitted Shishkin mesh to solve a system of n singularly perturbed convection–reaction–diffusion differential equations with two small parameters.
Jenolin Arthur, Joseph Paramasivam Mathiyazhagan, George E. Chatzarakis, S. L. Panetsos   +3 more
doaj   +1 more source

Fitted Operator Method for Singularly Perturbed Delay Parabolic Problems With Boundary Turning Points

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
In this paper, a numerical scheme for time‐delay singularly perturbed parabolic convection‐diffusion problems with boundary turning points is presented. The solution of the problem shows a steep gradient or rapid variation at the left region of the spatial domain as the perturbation parameter approaches zero.
Yimesgen Mehari Kebede, Awoke Andargie Tiruneh, Endalew Getnet Tsega, Nian-Sheng Tang   +3 more
wiley   +1 more source

A Uniformly Convergent Numerical Study on Bakhvalov-Shishkin Mesh for Singularly Perturbed Problem

, 2020
Derya Arslan
openalex   +3 more sources

Accelerated Fitted Mesh Scheme for Singularly Perturbed Turning Point Boundary Value Problems

Journal of Mathematics, 2022
An accelerated fitted mesh scheme is proposed for the numerical solution of the singularly perturbed boundary value problems whose solution exhibits an interior layer near the turning point.
Tesfaye Aga Bullo
doaj   +1 more source

Hybrid Fitted Mesh Strategy for Singularly Perturbed Time‐Dependent Convection‐Diffusion Problems Featuring Boundary Turning Points

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
This work investigates the solution of convection‐diffusion parabolic partial‐differential problems with boundary turning points that are singularly perturbed. These types of problems are stiff for the following reason: the small parameter multiplying coefficient of the diffusion term and the presence of boundary turning points.
Yimesgen Mehari Kebede, Awoke Andargie Tiruneh, Endalew Getnet Tsega, Mohamed A. Eltaher   +3 more
wiley   +1 more source

A Quintic Spline-Based Computational Method for Solving Singularly Perturbed Periodic Boundary Value Problems

Axioms
This work aims to provide approximate solutions for singularly perturbed problems with periodic boundary conditions using quintic B-splines and collocation. The well-known Shishkin mesh strategy is applied for mesh construction.
Puvaneswari Arumugam, Valanarasu Thynesh, Chandru Muthusamy, Higinio Ramos   +3 more
doaj   +1 more source

Finite difference scheme for singularly perturbed reaction diffusion problem of partial delay differential equation with nonlocal boundary condition

Advances in Difference Equations, 2021
This paper investigates singularly perturbed parabolic partial differential equations with delay in space, and the right end plane is an integral boundary condition on a rectangular domain.
Sekar Elango, Ayyadurai Tamilselvan, R. Vadivel, Nallappan Gunasekaran, Haitao Zhu, Jinde Cao, Xiaodi Li   +6 more
doaj   +1 more source

A Uniformly Convergent Scheme for Singularly Perturbed Unsteady Reaction–Diffusion Problems

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
In the present work, a class of singularly perturbed unsteady reaction–diffusion problem is considered. With the existence of a small parameter ε, (0 < ε ≪ 1) as a coefficient of the diffusion term in the proposed model problem, there exist twin boundary layer regions near the left end point x = 0 and right end point x = 1 of the spatial domain.
Amare Worku Demsie, Awoke Andargie Tiruneh, Endalew Getnet Tsega, Tudor Barbu   +3 more
wiley   +1 more source

Computational methods for singularly perturbed differential equations with advanced argument of convection-diffusion type

AIMS Mathematics
This study investigates singularly perturbed differential equations through advanced convection-diffusion techniques. We employ a finite difference approach utilizing a piecewise uniform Shishkin-type mesh to tackle this problem.
Nien-Tsu Hu, Sekar Elango, Chin-Sheng Chen , Murugesan Manigandan   +3 more
doaj   +1 more source

An Exponentially Fitted Upwind Scheme for Singularly Perturbed Differential Equations With Mixed Shift Parameters

Journal of Mathematics, Volume 2025, Issue 1, 2025.
This paper provides numerical solutions to a class of singularly perturbed differential–difference equations characterized by mixed shift parameters. The solutions of such problems exhibit sharp boundary layers near the endpoints of the spatial domain due to the presence of a small perturbation parameter ε(0 < ε ≪ 1).
Amare Worku Demsie, Awoke Andargie Tiruneh, Endalew Getnet Tsega, Luigi Rarità   +3 more
wiley   +1 more source