Results 1 to 10 of about 2,628,231 (286)
A compact finite difference scheme with absorbing boundary condition for forced KdV equation [PDF]
MethodsX, 2023 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]
Известия высших учебных заведений: Прикладная нелинейная динамика, 2022 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]
E-Journal of Analysis and Applied Mathematics, 2021 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]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2021 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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International Journal of Applied Mechanics and Engineering, 2022 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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Generalized finite-difference schemes [PDF]
Mathematics of Computation, 1969 Finite-difference schemes for initial boundary-value problems for partial differential equations lead to systems of equations which must be solved at each time step. Other methods also lead to systems of equations. We call a method a generalized finite-difference scheme if the matrix of coefficients of the system is sparse.
Swartz, B., Wendroff, B.
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Stable difference scheme for a nonlocal boundary value heat conduction problem [PDF]
E-Journal of Analysis and Applied Mathematics, 2018 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
Frontiers in Physics, 2023 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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Recursive finite-difference Lattice Boltzmann schemes [PDF]
Computers & Mathematics with Applications, 2021 The motivation of this study is twofold. First, a recursive mathematical formulation of the discrete-velocity Boltzmann equation (DVBE) under the Bhatnagar-Gross-Krook (BGK) approximation is introduced. This formulation allows us to formally express the solution of the DVBE as an infinite sum over successive particle derivatives of the distributions ...
Vienne, Lucien, Lévêque, Emmanuel
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Қарағанды университетінің хабаршысы. Математика сериясы, 2020 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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