Results 21 to 30 of about 47,396,763 (332)
Stability and error estimates of the SAV Fourier-spectral method for the phase field crystal equation [PDF]
Advances in Computational Mathematics, 2019 We consider fully discrete schemes based on the scalar auxiliary variable (SAV) approach and stabilized SAV approach in time and the Fourier-spectral method in space for the phase field crystal (PFC) equation.
Xiao-Li Li, Jie Shen
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Fractal and Fractional, 2021 Herein, we developed and analyzed a new fractal–fractional (FF) operational matrix for orthonormal normalized ultraspherical polynomials. We used this matrix to handle the FF Riccati differential equation with the new generalized Caputo FF derivative ...
Youssri Hassan Youssri
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Spectral discretization of the time-dependent Navier-Stokes problem with mixed boundary conditions
Advances in Nonlinear Analysis, 2022 In this work, we handle a time-dependent Navier-Stokes problem in dimension three with a mixed boundary conditions. The variational formulation is written considering three independent unknowns: vorticity, velocity, and pressure.
Abdelwahed Mohamed, Chorfi Nejmeddine
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Comparative Study of the Spectral Method, DISPERSE and Other Classical Methods for Plotting the Dispersion Curves in Anisotropic Plates [PDF]
Journal of Applied and Computational Mechanics, 2023 This paper presents a comparative study of different methods for obtaining the dispersion curves of ultrasonic guided waves in anisotropic media. First, we present the classical algorithms used to find zeros and propose some improvements.
Ismaine Zitouni +2 more
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Mathematics, 2023 Applications of non-Newtonian fluids have been widespread across industries, accompanied by theoretical developments in engineering and mathematics. This paper studies a two-dimensional multi-term time fractional viscoelastic non-Newtonian fluid model by
Mohammed M. Al-Shomrani +2 more
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A Chebyshev Spectral Method for Normal Mode and Parabolic Equation Models in Underwater Acoustics
, 2020 In this paper, the Chebyshev spectral method is used to solve the normal mode and parabolic equation models of underwater acoustic propagation, and the results of the Chebyshev spectral method and the traditional finite difference method are compared for
Hou-Wang Tu +5 more
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Approximation of the Boltzmann collision operator based on hermite spectral method [PDF]
Journal of Computational Physics, 2018 Based on the Hermite expansion of the distribution function, we introduce a Galerkin spectral method for the spatially homogeneous Boltzmann equation with the realistic inverse-power-law models.
Yan-Li Wang, Zhen-Ning Cai
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2017 We study the Dirichlet problem in a parallelepiped for a three-dimensional equation of mixed type with three singular coefficients. Separation of variables with Fourier series and spectral analysis are used to investigate this problem.
Akhmadjon K Urinov, Kamoliddin T Karimov
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An initial boundary value problem for a partial differential equation of higher even order with a Bessel operator [PDF]
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2022 In present paper, an initial-boundary value problem is formulated in a rectangle for a higher even order partial differential equation with the Bessel operator.
Akhmadjon K. Urinov, Muzaffar S. Azizov
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Nonlinear consolidation model for stratified soils with vertical drains based on spectral method
Yantu gongcheng xuebao, 2021 Many soft soil foundations with vertical drains are stratified, and the permeability and compressibility of soils change nonlinearly during the consolidation process.
XU Bin-hua 1, 2, HE Ning 1, 3, ZHOU Yan-zhang 1, ZHANG Zhong-liu 1
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