Results 31 to 40 of about 16,265,295 (241)

Weak solutions of unconditionally stable second-order difference schemes for nonlinear sine-Gordon systems [PDF]

open access: yesE-Journal of Analysis and Applied Mathematics
This paper presents the existence and uniqueness of the weak solution for the nonlinear system of sine-Gordon equations which describes DNA dynamics.
Ozgur Yildirim
doaj   +1 more source

Solution of the mixed boundary problem for the Poisson equation on two-dimensional irregular domains

open access: yesInformatika, 2023
Objectives. A finite-difference computational algorithm is proposed for solving a mixed boundary-value problem for the Poisson equation given in two-dimensional irregular domains.Methods. To solve the problem, generalized curvilinear coordinates are used.
M. M. Chuiko, O. M. Korolyova
doaj   +1 more source

On the convergence rates of energy-stable finite-difference schemes

open access: yesJournal of Computational Physics, 2019
We consider constant-coefficient initial-boundary value problems, with a first or second derivative in time and a highest spatial derivative of order q, and their semi-discrete finite difference approximations.
M. Svärd, J. Nordström
semanticscholar   +1 more source

Formulation and Numerical Solution of Plane Problems of the Theory of Elasticity in Strains

open access: yesMathematics, 2023
This article is devoted to the formulation and numerical solution of boundary-value problems in the theory of elasticity with respect to deformations. Similar to the well-known Beltrami–Michell stress equations, the Saint-Venant compatibility conditions ...
Dilmurod Turimov   +3 more
doaj   +1 more source

On convergence of difference schemes of high accuracy for one pseudo-parabolic Sobolev type equation

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2023
Difference schemes of the finite difference method and the finite element method of high-order accuracy in time and space are proposed and investigated for a pseudo-parabolic Sobolev type equation.
M.M. Aripov   +3 more
doaj   +1 more source

The standard upwind compact difference schemes for incompressible flow simulations

open access: yes, 2016
Compact difference schemes have been used extensively for solving the incompressible Navier-Stokes equations. However, the earlier formulations of the schemes are of central type (called central compact schemes, CCS), which are dispersive and susceptible
范平   +2 more
core   +2 more sources

Identification hyperbolic problems with the Neumann boundary condition

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2018
In the present study, an identification problem with the Neumann boundary condition for a one-dimensional hyperbolic equation is investigated. Stability estimates for the solution of the identification problem are established. Furthermore, a first order
A. Ashyralyev, F. Emharab
doaj   +1 more source

On convergence of schemes of finite element method of high accuracy for the equation of heat and moisture transfer

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2021
In this paper difference schemes of the finite element method of a high order of accuracy for the nonstationary equation of moisture transfer of Aller are constructed and investigated. The increased order of accuracy is achieved through special sampling
D. Utebaev   +2 more
doaj   +1 more source

Compact high order finite difference schemes for linear Schrödinger problems on non-uniform meshes [PDF]

open access: yes, 2012
In the present paper a general technique is developed for construction of compact high-order finite difference schemes to approximate Schrödinger problems on nonuniform meshes. Conservation of the finite difference schemes is investigated.
Mirinavičius, Aleksas   +2 more
core   +2 more sources

Model of movement of the free boundary of hydride formation in a cylindrical shell of zirconium alloy

open access: yesTransactions of the Karelian Research Centre of the Russian Academy of Sciences, 2019
One of the most important requirements for the materials (zirconium alloys) used in the reactor active zone is low hydrogen absorptivity, since hydrogen-induced embrittlement may cause zirconium cladding damage.
Natalia Rodchenkova, Kseniia Grudova
doaj   +1 more source

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