Results 111 to 120 of about 1,345 (122)

A High-Order Accuracy Method for Solving the Fractional Diffusion Equations

, 2020
In this paper, an efficient numerical method for solving the general fractional diffusion equations with Riesz fractional derivative is proposed by combining the fractional compact difference operator and the boundary value methods.
Maohua Zhang
semanticscholar   +1 more source

A New Compact Scheme in Exponential Form for Two-Dimensional Time-Dependent Burgers’ and Navier-Stokes Equations

, 2020
A new compact implicit exponential scheme for Burgers’ and Navier-Stokes equation is developed. The method has fourth order accuracy in space and second order accuracy in time. It uses only two time levels for computation and requires nine grid points at
R. K. Mohanty, Li Yuan, D. Sharma, Akbar Bhawan, D. Sharma   +4 more
semanticscholar   +1 more source

An Energy-Preserving Wavelet Collocation Method for General Multi-Symplectic Formulations of Hamiltonian PDEs

, 2016
In this paper, we develop a novel energy-preserving wavelet collocation method for solving general multi-symplectic formulations of Hamiltonian PDEs. Based on the autocorrelation functions of Daubechies compactly supported scaling functions, the wavelet ...
Yuezheng Gong, Yushun Wang
semanticscholar   +1 more source

High Order Compact Multisymplectic Scheme for Coupled Nonlinear Schrödinger-KdV Equations

Journal of Computational Mathematics, 2018
In this paper, a novel multisymplectic scheme is proposed for the coupled nonlinear Schrödinger-KdV (CNLS-KdV) equations. The CNLS-KdV equations are rewritten into the multisymplectic Hamiltonian form by introducing some canonical momenta.
Lan Wang
semanticscholar   +1 more source

Two Kinds of New Energy-Preserving Schemes for the Coupled Nonlinear Schrödinger Equations

Communications in Computational Physics, 2019
In this paper, we mainly propose two kinds of high-accuracy schemes for the coupled nonlinear Schrödinger (CNLS) equations, based on the Fourier pseudospectral method (FPM), the high-order compact method (HOCM) and the Hamiltonian boundary value methods (
Ming Song, Xu Qian, Hong Zhang, Jingmin Xia, Songhe Song   +4 more
semanticscholar   +1 more source

Finite Difference Schemes for the Variable Coefficients Single and Multi-Term Time-Fractional Diffusion Equations with Non-Smooth Solutions on Graded and Uniform Meshes

Numerical Mathematics: Theory, Methods and Applications, 2019
Finite difference scheme for the variable coefficients subdiffusion equations with non-smooth solutions is constructed and analyzed. The spatial derivative is discretized on a uniform mesh, and L1 approximation is used for the discretization of the ...
Mingrong Cui
semanticscholar   +1 more source

Local Structure-Preserving Algorithms for the KdV Equation

, 2017
In this paper, based on the concatenating method, we present a unified framework to construct a series of local structure-preserving algorithms for the Korteweg-de Vries (KdV) equation, including eight multi-symplectic algorithms, eight local energy ...
Jialin Wang, Yushun Wang
semanticscholar   +1 more source

Linear and Unconditionally Energy Stable Schemes for the Multi-Component Two-Phase Diffuse Interface Model with Peng-Robinson Equation of State

Communications in Computational Physics, 2019
In this paper we consider numerical solutions of the diffuse interface model with Peng-Robinson equation of state for the multi-component two-phase fluid system, which describes real states of hydrocarbon fluids in petroleum industry.
Chenfei Zhang
semanticscholar   +1 more source

Numerical Simulations of Rarefied Gases in Curved Channels: Thermal Creep, Circulating Flow, and Pumping Effect

, 2009
We present numerical simulations of a new system of micro-pump based on the thermal creep effect described by the kinetic theory of gases. This device is made of a simple smooth and curved channel with a periodic temperature distribution.
K. Aoki, P. Degond, L. Mieussens
semanticscholar   +1 more source

A High Order Compact Scheme for a Thermal Wave Model of Bio-Heat Transfer with an Interface

Numerical Mathematics: Theory, Methods and Applications, 2018
In this paper, a high order compact difference scheme has been developed for second order wave equations with piecewise discontinuous coefficients. The idea presented here can be used to solve a wide variety of hyperbolic models for nonhomogenous inner ...
Suruchi Singh
semanticscholar   +1 more source