Results 61 to 69 of about 159 (69)
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High Accuracy Spectral Method for the Space-Fractional Diffusion Equations
, 2014In this paper, a high order accurate spectral method is presented for the space-fractional diffusion equations. Based on Fourier spectral method in space and Chebyshev collocation method in time, three high order accuracy schemes are proposed.
S. Zhai
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The Finite Point Method for Solving the 2-D 3-T Diffusion Equations
Communications in Computational Physics, 2019A new approach for numerically solving 3-T diffusion equations on 2-D scattered point distributions is developed by the finite point method. In this paper, a new method for selecting neighboring points is designed, which is robust and well reflects ...
G. Shen
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The Legendre Galerkin-Chebyshev Collocation Method for Space Fractional Burgers-Like Equations
Numerical Mathematics: Theory, Methods and Applications, 2018In this paper, a Legendre Galerkin Chebyshev collocation method for the Burgers-like equations with fractional nonlinear term and diffusion term is developed.
Y. Ma
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The Kinematic Effects of the Defects in Liquid Crystal Dynamics
, 2016Here we investigate the kinematic transports of the defects in the nematic liquid crystal system by numerical experiments. The model is a shear flow case of the viscoelastic continuum model simplified from the Ericksen-Leslie system.
Rui Chen, W. Bao, Hui Zhang
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Advances in Applied Mathematics and Mechanics, 2019
In this report, a partitioned time stepping algorithm for Navier-Stokes/Darcy model is analyzed. This method requires only solve one, uncoupled Navier-Stokes and Darcy problems in two different sub-domains respectively per time step.
Hongen Jia
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In this report, a partitioned time stepping algorithm for Navier-Stokes/Darcy model is analyzed. This method requires only solve one, uncoupled Navier-Stokes and Darcy problems in two different sub-domains respectively per time step.
Hongen Jia
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An Implicit LU-SGS Scheme for the Spectral Volume Method on Unstructured Tetrahedral Grids
, 2009An efficient implicit lower-upper symmetric Gauss-Seidel (LU-SGS) solu- tion approach has been applied to a high order spectral volume (SV) method for un- structured tetrahedral grids.
T. Haga, K. Sawada, Z. Wang
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Asymptotic Preserving Spectral Deferred Correction Methods for Hyperbolic Systems with Relaxation
Communications in Computational Physics, 2019In this paper, we consider the semi-implicit spectral deferred correction (SDC) methods for hyperbolic systems of conservation laws with stiff relaxation terms.
Chong Sun and Yinhua Xia
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Novel Conservative Methods for Schrödinger Equations with Variable Coefficients over Long Time
, 2014In this paper, we propose a wavelet collocation splitting (WCS) method, and a Fourier pseudospectral splitting (FPSS) method as comparison, for solving onedimensional and two-dimensional Schrödinger equations with variable coefficients in quantum ...
Xu Qian, Yaming Chen, Songhe Song
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Legendre Pseudospectral Approximation of Boussinesq Systems and Applications to Wave Breaking
, 2016In this paper, we propose a spectral projection of a regularized Boussinesq system for wave propagation on the surface of a fluid. The spectral method is based on the use of Legendre polynomials, and is able to handle time-dependent Dirichlet boundary ...
Magnar Bjørkavûag +3 more
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