Results 121 to 130 of about 421,152 (262)

Numerics of singularly perturbed differential equations [PDF]

, 2014
The main purpose of this report is to carry out the effect of the various numerical methods for solving singular perturbation problems on non-uniform meshes.
Shakti, D
core  

Uniformly-convergent numerical methods for a system of coupled singularly perturbed convection–diffusion equations with mixed type boundary conditions

Mathematical Modelling and Analysis, 2013
In this paper, two hybrid difference schemes on the Shishkin mesh are constructed for solving a weakly coupled system of two singularly perturbed convection - diffusion second order ordinary differential equations subject to the mixed type boundary ...
Rajarammohanroy Mythili Priyadharshini, Narashimhan Ramanujam   +1 more
doaj   +1 more source

Nonstandard hybrid numerical scheme for singularly perturbed parabolic differential equations with large delay

Partial Differential Equations in Applied Mathematics
In this paper, a numerical scheme for a class of singularly perturbed delay parabolic convection–diffusion problems having Dirichlet boundary conditions is proposed. When the perturbation parameter tends to zero, the solution to these problems exhibits a
Zerihun Ibrahim Hassen, Gemechis File Duressa   +1 more
doaj   +1 more source

Efficient resolution of singularly perturbed coupled systems: Equations of reaction-diffusion [PDF]

, 2007
In this communication we consider a class of singularly perturbed linear system of reaction-diffusion type coupled in the reaction terms. To approximate its solution, in [3] J.L. Gracia, F.
Clavero García, Carmelo, Gracia Lozano, José Luis, LIsbona Cortés, Francisco, Rodrigo Cardiel, Carmen   +3 more
core  

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
openaire   +2 more sources

Superconvergence Using Pointwise Interpolation in Convection-Diffusion Problems

, 2013
Considering a singularly perturbed convection-diffusion problem, we present an analysis for a superconvergence result using pointwise interpolation of Gau{\ss}-Lobatto type for higher-order streamline diffusion FEM.
Franz, Sebastian
core  

A numerical comparative study for the singularly perturbed nonlinear Volterra-Fredholm integro-differential equations on layer-adapted meshes

Miskolc Mathematical Notes
This article deals with the singularly perturbed nonlinear Volterra-Fredholm integro-differential equations. Firstly, some priori bounds are presented.
Baransel Gunes, Musa Cakir
doaj   +1 more source

Graded mesh B-spline collocation method for two parameters singularly perturbed boundary value problems. [PDF]

MethodsX, 2023
Andisso FS, Duressa GF.
europepmc   +1 more source

A Non-Standard Finite Difference Scheme for Time-Fractional Singularly Perturbed Convection–Diffusion Problems

Fractal and Fractional
This paper introduces a stable non-standard finite difference (NSFD) method to solve time-fractional singularly perturbed convection–diffusion problems. The fractional derivative in time is defined in the Caputo sense.
Pramod Chakravarthy Podila, Rahul Mishra, Higinio Ramos   +2 more
doaj   +1 more source

Investigation of a Two-Grid Method of Improved Accuracy for the Elliptic Reaction–Diffusion Equation with Boundary Layers [PDF]

Учёные записки Казанского университета: Серия Физико-математические науки, 2015
A two-grid method for the elliptic equation with a small parameter ε multiplying the highest derivative is investigated. The ε-uniformly convergent difference scheme on the Shishkin mesh is considered.
S.V. Tikhovskaya
doaj