Results 111 to 120 of about 1,916 (200)

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

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 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

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

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

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  

Parameter uniform hybrid numerical method for time-dependent singularly perturbed parabolic differential equations with large delay

Applied Mathematics in Science and Engineering
In this study, to solve the singularly perturbed delay convection–diffusion–reaction problem, we proposed a hybrid numerical scheme that converges uniformly.
Zerihun Ibrahim Hassen, Gemechis File Duressa   +1 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  

Convergence of the Difference Solutions of a Dirichlet Problem With a Discontinuous Derivative of the Boundary Function for a Singularly Perturbed Convection-Diffusion Equation

Моделирование и анализ информационных систем, 2016
We consider a Dirichlet problem for a singularly perturbed convection-diffusion equation with constant coefficients in a rectangular domain in the case when the convection is parallel to the horizontal faces of the rectangular and directed to the right ...
T. Ya. Ershova
doaj   +1 more source

Exponentially fitted numerical method for solving singularly perturbed delay reaction-diffusion problem with nonlocal boundary condition. [PDF]

BMC Res Notes, 2023
Wondimu GM, Woldaregay MM, Duressa GF, Dinka TG.   +3 more
europepmc   +1 more source