Results 1 to 10 of about 267 (71)

Comparative Study on Numerical Methods for Singularly Perturbed Advanced-Delay Differential Equations

open access: yesJournal of Mathematics, 2021
In this paper, we consider a class of singularly perturbed advanced-delay differential equations of convection-diffusion type. We use finite and hybrid difference schemes to solve the problem on piecewise Shishkin mesh.
P. Hammachukiattikul   +5 more
doaj   +3 more sources

On numerical solution of boundary layer flow of viscous incompressible fluid past an inclined stretching sheet in porous medium and heat transfer using spline technique. [PDF]

open access: yesMethodsX, 2023
In this paper, the boundary layer flow of viscous incompressible fluid over an inclined stretching plate in porous media with body force and heat transfer has been studied.
Begum T, Manchanda G, Khan A, Ahmad N.
europepmc   +2 more sources

A research study on unsteady state convection diffusion flow with adoption of the finite volume technique

open access: yesJournal of Applied Mathematics and Computational Mechanics, 2021
This research paper is an attempt to solve the unsteady state convection diffusion one dimension equation. It focuses on the fully implicit hybrid differencing numerical finite volume technique as well as the fully implicit central differencing numerical
M. R. Patel, J. Pandya
semanticscholar   +1 more source

A numerical method for a second order singularly perturbed Fredholm integro-differential equation

open access: yes, 2021
The boundary-value problem for a second order singularly perturbed Fredholm integrodifferential equation was considered in this paper. For the numerical solution of this problem, we use an exponentially fitted difference scheme on a uniform mesh which is
G. M. Amiraliyev, M. Durmaz, M. Kudu
semanticscholar   +1 more source

Dynamic analysis of delayed vaccination process along with impact of retrial queues

open access: yesComputational and Mathematical Biophysics, 2023
An unprecedented and precise time-scheduled rollout for the vaccine is needed for an effective vaccination process. This study is based on the development of a novel mathematical model considering a delay in vaccination due to the inability to book a ...
Chauhan Sudipa   +3 more
doaj   +1 more source

Optimization of one-step hybrid method for direct solution of fifth order ordinary differential equations of initial value problems

open access: yes, 2021
This paper focuses on the derivation, analysis and implementation of a hybrid method by optimizing the order of the method by introduction of six-hybrid points for direct solution of fifth order ordinary differential equations of initial value problems ...
R. Ogunrinde   +2 more
semanticscholar   +1 more source

Mathematical modeling of the dynamics of vector-borne diseases transmitted by mosquitoes : taking into account aquatic stages and gonotrophic cycle

open access: yesNonautonomous Dynamical Systems, 2022
In this paper, we formulate a mathematical model of vector-borne disease dynamics. The model is constructed by considering two models : a baseline model of vector population dynamics due to Lutambi et al.
Diabaté Abou Bakari   +2 more
doaj   +1 more source

Robust numerical method for singularly perturbed differential equations with large delay

open access: yesDemonstratio Mathematica, 2021
In this paper, a singularly perturbed differential equation with a large delay is considered. The considered problem contains a large delay parameter on the reaction term. The solution of the problem exhibits the interior layer due to the delay parameter
Abdulla Murad Ibrahim   +2 more
doaj   +1 more source

On the Volterra Delay-Integro-Differential equation with layer behavior and its numerical solution

open access: yesMiskolc Mathematical Notes, 2019
In this paper, we analyze the convergence of the fitted mesh method applied to singularly perturbed Volterra delay-integro-differential equation. Our mesh comprises a special nonuniform mesh on the first subinterval and uniform mesh on another part ...
G. M. Amiraliyev, Ömer Yapman
semanticscholar   +1 more source

Exact finite-difference scheme and nonstandard finite-difference scheme for coupled Burgers equation

open access: yesAdvances in Differential Equations, 2014
This work develops exact finite-difference schemes for the two-dimensional nonlinear coupled viscous Burgers equation using the analytic solution. We extend the explicit nonstandard finite-difference schemes on the basis of the exact finite-difference ...
Lei Zhang, Lisha Wang, X. Ding
semanticscholar   +2 more sources

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