Results 71 to 80 of about 225 (176)

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

Exact difference approach on the Shishkin mesh for solving time fractional singularly perturbed parabolic PDE

Partial Differential Equations in Applied Mathematics
A novel approach has been introduced to address time-fractional singularly perturbed parabolic partial differential equations. This method utilizes the L1-Caputo finite difference technique to approximate the fractional derivative term and employs an ...
Mesfin Mekuria Woldaregay, Tibebu Worku Hunde   +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

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

Discrete Green functions of the SDFEM on Shishkin triangular meshes

, 2015
9 pages, 2 ...
openaire   +2 more sources

Shishkin meshes in the numerical solution of singularly perturbed differential equations

, 2010
peer ...
Kopteva, Natalia, O'Riordan, Eugene
openaire   +1 more source

Implementation of Shishkin mesh in the modelling of spring-mass system

Sborník vědeckých prací Vysoké školy báňské-Technické univerzity Ostrava. Řada strojní (1992), 2010
In this article we analyze the model of spring-mass system with very large damping or very small mass as well as its numerical solution. In the first part of the work we derive the model with initial conditions and discuss the behavior of the exact solution.
Dražić, Ivan, Barišić, Branimir, Mujaković, Nermina, Čep, Robert   +3 more
openaire   +2 more sources

A Higher-Order Uniformly Convergent Numerical Method for a Singularly Perturbed Nonlinear Reaction–Diffusion Equation

Axioms
This study presents a higher-order uniformly convergent numerical method for a singularly perturbed nonlinear reaction–diffusion equation. The quasilinearization technique is used to transform a nonlinear term into a linear boundary value problem.
Fasika Wondimu Gelu, Mohammed Ahmed Alomair   +1 more
doaj   +1 more source

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

Interpolation on the Bakhvalov mesh in the presence of an exponential boundary layer

Учёные записки Казанского университета: Серия Физико-математические науки, 2019
Interpolation of the function of one variable with large gradients in the region of the exponential boundary layer was studied. The interpolated function corresponds to solution of a boundary value problem for an ordinary differential equation of the ...
I.A. Blatov, N.A. Zadorin
doaj   +1 more source