Results 21 to 30 of about 116,557 (189)

Asymmetric diffusion of cosmic rays [PDF]

open access: yes, 2015
Cosmic ray propagation is diffusive because of pitch angle scattering by waves. We demonstrate that if the high-amplitude magnetohydrodynamic turbulence with $\tilde B/\langle B\rangle \sim 1$ is present on top of the mean field gradient, the diffusion ...
Medvedev, Mikhail V.   +1 more
core   +2 more sources

Uniformly Convergent Scheme for Singularly Perturbed Space Delay Parabolic Differential Equation with Discontinuous Convection Coefficient and Source Term

open access: yesJournal of Mathematics, 2022
A singularly perturbed delay parabolic problem of convection-diffusion type with a discontinuous convection coefficient and source term is examined. In the problem, strong interior layers and weak boundary layers are exhibited due to a large delay in the
Mulunesh Amsalu Ayele   +2 more
doaj   +1 more source

Numerical simulation for nonlinear space-fractional reaction convection-diffusion equation with its application

open access: yesAlexandria Engineering Journal, 2023
In this research, we adopt a fully implicit approach with a weighted shifted Grunwald–Letnikov difference operator to find the numerical solution of the one and two-dimensional nonlinear space fractional convection–diffusion-reaction equation over a ...
Eyaya Fekadie Anley   +3 more
doaj   +1 more source

The difference scheme for the two-dimensional convection-diffusion problem for large peclet numbers

open access: yesMATEC Web of Conferences, 2018
The purpose of this work is the development of a difference scheme for the solution of convection-diffusion problem at high Peclet numbers (Pe>2). In accordance with this purpose the following problems were solved: difference scheme for convection is ...
Sukhinov Alexander I.   +2 more
doaj   +1 more source

Parameter-uniformly convergent numerical scheme for singularly perturbed delay parabolic differential equation via extended B-spline collocation

open access: yesFrontiers in Applied Mathematics and Statistics, 2023
This paper presents a parameter-uniform numerical method to solve the time dependent singularly perturbed delay parabolic convection-diffusion problems.
Zerihun Ibrahim Hassen   +1 more
doaj   +1 more source

Numerical solutions of one-dimensional parabolic convection-diffusion problems arising in biology by the Laguerre collocation method

open access: yesBiomath, 2017
In this work, we present a numerical scheme for the approximate solutions of the one-dimensional parabolic convection-diffusion model problems. Diffusion models form a reasonable basis for studying insect and animal dispersal and invasion, which arise ...
Burcu Gürbüz, Mehmet Sezer
doaj   +1 more source

Drug delivery in catheterized arterial blood flow with atherosclerosis

open access: yesResults in Applied Mathematics, 2020
We study the problem of drug delivery in a catheterized artery in the presence of atherosclerosis. The problem is modeled in the context of a two-phase flow system which consists of red blood cells and blood plasma. The coupled differential equations for
Saulo Orizaga   +2 more
doaj   +1 more source

A monotone finite-difference high order accuracy scheme for the 2D convection – diffusion equations

open access: yesЖурнал Белорусского государственного университета: Математика, информатика, 2019
A stable finite-difference scheme is constructed on a minimum stencil of a uniform mesh for a two-dimensional steady-state convection – diffusion equation of a general form; the scheme is theoretically studied and tested.
Viktor K. Polevikov
doaj   +1 more source

Parameter-uniform numerical scheme for singularly perturbed parabolic convection–diffusion Robin type problems with a boundary turning point

open access: yesResults in Applied Mathematics, 2022
In this work, a numerical method for the singularly perturbed parabolic convection–diffusion turning point problem with Robin boundary condition was developed.
Fasika Wondimu Gelu   +1 more
doaj   +1 more source

Nonexistence of solutions results for certain fractional differential equations

open access: yesMathematical Modelling and Analysis, 2011
This paper is meant to establish sufficient conditions for the nonexistence of weak solutions to nonlinear fractional diffusion equation in space and time with nonlinear convective term. The Fujita exponent is determined.
Mohamed Berbiche
doaj   +1 more source

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