Results 81 to 90 of about 225 (176)

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

Finite element superconvergence on Shishkin mesh for 2-D convection-diffusion problems [PDF]

Mathematics of Computation, 2003
In this work, the bilinear finite element method on a Shishkin mesh for convection-diffusion problems is analyzed in the two-dimensional setting. A superconvergence rate O (
openaire   +2 more sources

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

A new parameter-convergent nonstandard finite difference method for two-parameter singularly perturbed problems

Discover Applied Sciences
This article focuses on the numerical solution of a time-dependent parabolic problem that exhibits singular perturbations and involves two perturbation parameters. To address this problem, a fitted mesh finite difference method is developed. In numerical
Mekashaw Ali Mohye, Justin B. Munyakazi, Tekle Gemechu Dinka, Yusuf Hussen Haji, Abe Nura Ware, Jemal Muhammed Ahmed   +5 more
doaj   +1 more source

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  

Uniformly convergent extended cubic B-spline collocation method for two parameters singularly perturbed time-delayed convection-diffusion problems. [PDF]

BMC Res Notes, 2023
Negero NT.
europepmc   +1 more source

Supercloseness of the NIPG method for a singularly perturbed convection diffusion problem on Shishkin mesh

Calcolo
In this paper, we analyze the supercloseness result of nonsymmetric interior penalty Galerkin (NIPG) method on Shishkin mesh for a singularly perturbed convection diffusion problem. According to the characteristics of the solution and the scheme, a new analysis is proposed.
Jin Zhang, Xiaoqi Ma
openaire   +2 more sources

Editorial: Differential equations: Modelling and numerical methods. [PDF]

MethodsX, 2023
Mohanty RK, Perfilieva I, Sharma KK, Cardone A, Jha N.   +4 more
europepmc   +1 more source

Efficient Layer-Resolving Fitted Mesh Finite Difference Approach for Solving a System of n Two-Parameter Singularly Perturbed Convection–Diffusion Delay Differential Equations

Axioms
This paper presents a robust fitted mesh finite difference method for solving a system of n singularly perturbed two parameter convection–reaction–diffusion delay differential equations defined on the interval [0,2].
Joseph Paramasivam Mathiyazhagan, Jenolin Arthur, George E. Chatzarakis, S. L. Panetsos   +3 more
doaj   +1 more source