Results 1 to 10 of about 16,265,295 (241)
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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Numerical algorithm for solving parabolic identification problem with mixed boundary condition [PDF]
E-Journal of Analysis and Applied Mathematics, 2023 A source identification problem for a parabolic equation with mixed boundary condition is studied. Stability estimates for the solution of identification problem with mixed boundary conditions are obtained.
Charyyar Ashyralyyev +1 more
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High order TVD scheme for hyperbolic conservation laws [PDF]
Alfarama Journal of Basic & Applied Sciences, 2020 In this paper, we introduced a new third order finite difference scheme for solving initial value problems for hyperbolic conservation laws. This method is a finite difference scheme combining a dissipative scheme (diffusion scheme) and a dispersive ...
Amr Abdalla, Anas Arafa, Ibrahim Osman
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CREATION AND EVALUATION OF THE STRUCTURES GRID IN CURVILINEAR AREAS
Вестник КазНУ. Серия математика, механика, информатика, 2021 The article concerns methods of a structural curvilinear grid constructing in areas of geometrically complex shape and its evaluation from the quality point of view. Equidistribution methods based on differential equations were used to construct the grid
L. N. Temirbekova, E. A. Malgazhdarov
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Finite difference schemes with monotone operators
Advances in Difference Equations, 2004 Several existence theorems are given for some second-order difference equations associated with maximal monotone operators in Hilbert spaces. Boundary conditions of monotone type are attached.
N. C. Apreutesei
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Computers and Mathematics with Applications, 2020 A special point on each time interval is found for the approximation of the variable-order time Caputo derivative, which makes at least second order approximation accuracy be obtained.
R. Du, A. Alikhanov, Zhi-Zhong Sun
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Numerical study of the nonlinear Cauchy diffusion problem and Newell-Whitehead equation via cubic B-spline quasi-interpolation [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2015 In this article, a numerical approximation to the solution of the Newell-Whitehead equation (NWE) and Cauchy problem of ill-posed non-linear diffusion equation have been studied.
Hossein Aminikhah, Javad Alavi
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Conservative finite difference schemes for dynamical systems
Discrete and Continuous Models and Applied Computational Science, 2022 The article presents the implementation of one of the approaches to the integration of dynamical systems, which preserves algebraic integrals in the original fdm for Sage system.
Yu Ying, Zhen Lu
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A fully implicit non-standard finite difference scheme for one dimensional Burgers' equation [PDF]
Journal of Applied Research on Industrial Engineering, 2020 In this paper we have studied a numerical approximation to the solution of the nonlinear Burgers' equation. The presented scheme is obtained by using the Non-Standard Finite Difference Method (NSFD).
Abdolrahman Yaghoobi +1 more
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Учёные записки Казанского университета: Серия Физико-математические науки, 2021 This work is devoted to the study of the convergence of an implicit difference scheme for a one-dimensional initial-boundary problem that simulates the process of filtration consolidation with a limiting gradient.
V.L. Gnedenkova, M.F. Pavlova, E.V. Rung
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