Results 21 to 30 of about 585,866 (265)

On the accuracy of difference scheme for Navier-Stokes equations

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014
The article presents a study of difference schemes in time, which accuracy can be arbitrarily high. We present difference schemes in time for solving the Navier-Stokes equations, where series expansions are used to find the singularities of solutions of ...
Nikolay I Sidnyaev, Nadezhda M Gordeeva
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On Monotonicity of Difference Schemes for Computational Physics [PDF]

SIAM Journal on Scientific Computing, 2004
Summary: Criteria are developed for monotonicity of linear as well as nonlinear difference schemes associated with the numerical analysis of systems of partial differential equations, integrodifferential equations, etc. Difference schemes are converted into variational forms that satisfy the boundary maximum principle and also allow the investigation ...
Vyacheslav Borisov, Shaul Sorek
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On fourth order accuracy stable difference scheme for a multi-point overdetermined elliptic problem

Қарағанды 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
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Stability for inhomogeneous difference schemes [PDF]

Proceedings of the American Mathematical Society, 1961
where u is a (possibly vector-valued) unknown function of a real "time" variable t and an N-dimensional real vector "space" variable x. Here A is a linear operator, constant2 in t, operating on u, where u is considered a function of x alone (i.e., A acts on elements of a linear space 63 and, for each value of t, u(., t) C 63). The function f is a known
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Exact and nonstandard finite difference schemes for the generalized KdV–Burgers equation

Advances in Difference Equations, 2020
We consider the generalized KdV–Burgers KdVB ( p , m , q ) $\operatorname{KdVB}(p,m,q)$ equation. We have designed exact and consistent nonstandard finite difference schemes (NSFD) for the numerical solution of the KdVB ( 2 , 1 , 2 ) $\operatorname{KdVB}(
C. Koroglu
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High-Order Approximation to Generalized Caputo Derivatives and Generalized Fractional Advection–Diffusion Equations

Mathematics, 2023
In this article, a high-order time-stepping scheme based on the cubic interpolation formula is considered to approximate the generalized Caputo fractional derivative (GCFD).
Sarita Kumari, Rajesh K. Pandey, Ravi P. Agarwal   +2 more
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Numerical solution to Bitsadze-Samarskii type elliptic overdetermined multipoint NBVP

Boundary 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
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Homogeneous difference schemes [PDF]

USSR Computational Mathematics and Mathematical Physics, 1962
Abstract Homogeneous difference schemes, suitable for transforming differential equations whose coefficients belong to certain classes of function into difference equations, are defined and discussed. The main points which arise are, first, whether the solution of the resulting difference equation converges to that of the original differential ...
Tikhonov, A. N., Samarskiĭ, A. A.
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A numerical solution for a class of time fractional diffusion equations with delay

International Journal of Applied Mathematics and Computer Science, 2017
This paper describes a numerical scheme for a class of fractional diffusion equations with fixed time delay. The study focuses on the uniqueness, convergence and stability of the resulting numerical solution by means of the discrete energy method.
Pimenov Vladimir G., Hendy Ahmed S.
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On the convergence rate of a difference solution of the Poisson equation with fully nonlocal constraints

Nonlinear 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
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