Results 1 to 10 of about 610,237 (166)
A compact finite difference scheme with absorbing boundary condition for forced KdV equation [PDF]
Studying the long-time solution behavior of the Korteweg-de Vries (KdV) type equation with a periodic force acting at one end of the long channel is important for simulating the blood flow in artery driven by heart pulses.
Jiaqi Chen, Weizhong Dai
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Variational approach to the construction of discrete mathematical model of the pendulum motion with vibrating suspension with friction [PDF]
The main purpose of this work is, first, a construction of the indirect Hamilton’s variational principle for the problem of motion of a pendulum with a vibration suspension with friction, oscillating along a straight line making a small angle with ...
Savchin, Vladimir Mikhailovich +1 more
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New solvability condition of 2-d nonlocal boundary value problem for Poisson’s operator on rectangle [PDF]
Differential and difference interpretations of a nonlocal boundary value problem for Poisson’s equation in open rectangular domain are studied. New solvability conditions are obtained in respect of existence, uniqueness and a priori estimate of the ...
Dovlet M. Dovletov
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On differential approximations of difference schemes [PDF]
The concept of the first differential approximation was introduced in the 1950s for the analysis of difference schemes by A. I. Zhukov and then was used to study the quality of difference schemes approximating equations in partial derivatives.
Blinkov, Yuri Anatolievich +2 more
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The solution of differential-difference equations with small shifts having layer behaviour is the subject of this study. A difference scheme is proposed to solve this equation using a non-uniform grid.
Mamatha Kodipaka +2 more
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Stable difference scheme for a nonlocal boundary value heat conduction problem [PDF]
In this paper, a new finite difference method to solve nonlocal boundary value problems for the heat equation is proposed. The most important feature of these problems is the non-self-adjointness.
Makhmud A. Sadybekov
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Construction of quaternary quantum error-correcting codes via orthogonal arrays
This paper presents a method based on orthogonal arrays of constructing pure quaternary quantum error-correcting codes. As an application of the method, some infinite classes of quantum error-correcting codes with distances 2, 3, and 4 can be obtained ...
Shanqi Pang +6 more
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With the development of computer technology and progress in the field of modeling physical and chemical processes, methods of increasing the accuracy, as well as simplifying the algorithms and methods for calculating mathematical models, become ...
Микола Нестеренко +2 more
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In modeling various real processes, an important role is played by methods of solution source identification problem for partial differential equation.
C. Ashyralyyev, A. Cay
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Boundedness of dispersive difference schemes [PDF]
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
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