Results 21 to 30 of about 2,628,231 (286)

Boundedness of dispersive difference schemes [PDF]

open access: yesMathematics of Computation, 1990
The pointwise behavior of dispersive difference schemes for the simple wave equation in one dimension is analyzed. If the initial data are in certain Besov spaces, the scheme is shown to be pointwise unbounded. Boundedness is shown when the initial data are of bounded variation.
Estep, Donald   +2 more
openaire   +1 more source

Numerical solution to Bitsadze-Samarskii type elliptic overdetermined multipoint NBVP

open access: yesBoundary Value Problems, 2017
This paper is devoted to a Bitsadze-Samarskii type overdetermined multipoint nonlocal boundary value problem (NBVP). This inverse problem is reduced to an auxiliary multipoint NBVP.
Charyyar Ashyralyyev
doaj   +1 more source

THE STATE OF THE PROBLEM OF THE JOINT MOVEMENT OF FLUID IN THE PORE SPACE

open access: yesВестник КазНУ. Серия математика, механика, информатика, 2022
This article discusses the problems of studying the issue of joint motion of liquids in the porous space. The article provides the construction of a mathematical model of the theory of ltration, which describes phase transitions.
A. A. Mussina   +2 more
doaj   +1 more source

A Conservative Finite Difference Scheme for Poisson-Nernst-Planck Equations [PDF]

open access: yes, 2013
A macroscopic model to describe the dynamics of ion transport in ion channels is the Poisson-Nernst-Planck(PNP) equations. In this paper, we develop a finite-difference method for solving PNP equations, which is second-order accurate in both space and ...
Eisenberg, Bob   +5 more
core   +1 more source

Exact Finite Difference Scheme and Nonstandard Finite Difference Scheme for Burgers and Burgers-Fisher Equations

open access: yesJournal of Applied Mathematics, 2014
We present finite difference schemes for Burgers equation and Burgers-Fisher equation. A new version of exact finite difference scheme for Burgers equation and Burgers-Fisher equation is proposed using the solitary wave solution.
Lei Zhang, Lisha Wang, Xiaohua Ding
doaj   +1 more source

On the convergence rate of a difference solution of the Poisson equation with fully nonlocal constraints

open access: yesNonlinear Analysis, 2014
We consider the Poisson equation in a rectangular domain. Instead of the classical specification of boundary data, we impose an integral constraints on the inner stripe adjacent to boundary having the width ξ.
Givi Berikelashvilia, Nodar Khomeriki
doaj   +1 more source

A unified approach to Mimetic Finite Difference, Hybrid Finite Volume and Mixed Finite Volume methods [PDF]

open access: yes, 2008
We investigate the connections between several recent methods for the discretization of anisotropic heterogeneous diffusion operators on general grids.
Eymard R.   +4 more
core   +6 more sources

Difference schemes, entropy solutions, and speedup impulse for an inhomogeneous kinematic traffic flow model

open access: yesNetworks and Heterogeneous Media, 2008
The classical Lighthill-Whitham-Richards (LWR) kinematic traffic model is extendedto a unidirectional road on which the maximum density $a(x)$represents roadinhomogeneities, such as variable numbers of lanes, and is allowedto vary discontinuously.
Raimund Bürger   +3 more
doaj   +1 more source

A novel difference schemes for analyzing the fractional Navier-Stokes equations

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
In this report, a novel difference scheme is used to analyzing the Navier - Stokes problems of fractional order. Existence and uniqueness of the suggested approach with a Lipschitz condition and Picard theorem are proved.
Sayevand Khosro   +2 more
doaj   +1 more source

On fourth order accuracy stable difference scheme for a multi-point overdetermined elliptic problem

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2021
In this paper fourth order of accuracy difference scheme for approximate solution of a multi-point elliptic overdetermined problem in a Hilbert space is proposed.
C. Ashyralyyev, G. Akyuz
doaj   +1 more source

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