Results 51 to 60 of about 225 (176)
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 +6 more
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International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.This paper presents a class of singularly perturbed parabolic‐type reaction diffusion problems. Due to the presence of a small parameter ε, (0 < ε ≪ 1) as a diffusion coefficient, the proposed problem exhibits twin boundary layers in the neighborhood of the end points of the spatial domain near x = 0 and x = 1.
Amare Worku Demsie +3 more
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A Numerical Method for a Singularly Perturbed Three-Point Boundary Value Problem
Journal of Applied Mathematics, 2010 The purpose of this paper is to present a uniform finite difference method for numerical solution of nonlinear singularly perturbed convection-diffusion problem with nonlocal and third type boundary conditions.
Musa Çakır, Gabil M. Amiraliyev
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Partial Differential Equations in Applied Mathematics, 2023 This work presents a numerical solution to singularly perturbed Robin-type parabolic convection–diffusion problems. A hybrid method that combines the central difference scheme in the inner region and the midpoint of the upwind scheme in the outer region ...
Fasika Wondimu Gelu +1 more
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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 +3 more
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A note of pointwise estimates on Shishkin meshes
, 2012 We propose the estimates of the discrete Green function for the stream- line diffusion finite element method (SDFEM) on Shishkin meshes.
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A Uniformly Convergent Galerkin Method on a Shishkin Mesh for a Convection-Diffusion Problem
Journal of Mathematical Analysis and Applications, 1997 Two results on convergence uniform in the singular perturbation parameter are given for a singularly perturbed linear elliptic boundary value problem in two dimensions. Their error bounds are of order (i) \((\ln N/N)\) in a global energy norm and (ii) \((\ln N)^{3/2}/\sqrt N\) pointwise near the outflow boundary.
Stynes, Martin, O'Riordan, Eugene
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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 +3 more
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International Journal of Mathematics and Mathematical Sciences, 2023 A numerical scheme is developed to solve a large time delay two-parameter singularly perturbed one-dimensional parabolic problem in a rectangular domain.
Solomon Woldu Worku +1 more
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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 +3 more
wiley +1 more source