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]
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
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Solution of the mixed boundary problem for the Poisson equation on two-dimensional irregular domains
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
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On the convergence rates of energy-stable finite-difference schemes
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
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
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On convergence of difference schemes of high accuracy for one pseudo-parabolic Sobolev type equation
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
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The standard upwind compact difference schemes for incompressible flow simulations
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
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Identification hyperbolic problems with the Neumann boundary condition
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
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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
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Compact high order finite difference schemes for linear Schrödinger problems on non-uniform meshes [PDF]
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
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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
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