Results 11 to 20 of about 8,382 (217)
Fractal and Fractional, 2023 In the current work, a fast θ scheme combined with the Legendre spectral method was developed for solving a fractional Klein–Gordon equation (FKGE). The numerical scheme was provided by the Legendre spectral method in the spatial direction, and for the ...
Yanan Li +3 more
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Physical Sciences and Technology, 2021 The work is dedicated to modeling&turbinecontrol systems and studying the stability of a nonlinear system. The dynamics of the turbine regulationsystem is described by a nonlinear&system of fourdifferential equations.
Zh. T. Bitaeva
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Stable, Explicit, Leapfrog-Hopscotch Algorithms for the Diffusion Equation
Computation, 2021 In this paper, we construct novel numerical algorithms to solve the heat or diffusion equation. We start with 105 different leapfrog-hopscotch algorithm combinations and narrow this selection down to five during subsequent tests.
Ádám Nagy +5 more
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Computation, 2023 New analytical solutions of the heat conduction equation obtained by utilizing a self-similar Ansatz are presented in cylindrical and spherical coordinates. Then, these solutions are reproduced with high accuracy using recent explicit and unconditionally
Humam Kareem Jalghaf +3 more
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An exponential B-spline collocation method for the fractional sub-diffusion equation
Advances in Difference Equations, 2017 In this article, we propose an exponential B-spline approach to obtain approximate solutions for the fractional sub-diffusion equation of Caputo type. The presented method is established via a uniform nodal collocation strategy by using an exponential B ...
Xiaogang Zhu +4 more
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Unconditionally Stable Difference Scheme for the Numerical Solution of Nonlinear Rosenau-KdV Equation [PDF]
Mathematics Interdisciplinary Research, 2016 In this paper we investigate a nonlinear evolution model described by the Rosenau-KdV equation. We propose a three-level average implicit finite difference scheme for its numerical solutions and prove that this scheme is stable and convergent in the ...
Akbar Mohebbi, Zahra Faraz
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IEEE Access, 2018 Based on the explicit finite-difference time-domain (FDTD) and implicit Crank–Nicolson (CN) FDTD methods, this paper presents a hybrid sub-gridded scheme whose time step size depends on the coarse grid size for numerically simulating the 3-D ...
Xiao-Kun Wei, Wei Shao, Xiao-Hua Wang
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Mathematics, 2020 In this paper, a finite volume element (FVE) method is proposed for the time fractional Sobolev equations with the Caputo time fractional derivative. Based on the L1-formula and the Crank–Nicolson scheme, a fully discrete Crank–Nicolson FVE scheme is ...
Jie Zhao +3 more
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Mathematics, 2023 We here employ a proper orthogonal decomposition (POD) to reduce the dimensionality of unknown coefficient vectors of finite element (FE) solutions for the fractional Tricomi-type equation and develop a reduced-dimension extrapolating FE (RDEFE) method ...
Yuejie Li, Zhendong Luo
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A Study On Stability Of Conditional Variances For GARCH Models With Application
Tikrit Journal of Pure Science, 2023 In this paper we study the stability conditions of GARCH models and we find these conditions by using a local linearization technique. In addition we study the stability of conditional variances predictions where these predictions converge to an ...
Azher Abbas Mohammad +1 more
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