SPECTRAL_METHOD

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A Novel Error Analysis of Spectral Method for the Anomalous Subdiffusion Problems with Multi-term Time-fractional Derivative
《Acta Mathematicae Applicatae Sinica》2023年第4期943-961,共19页Bo TANG Yan-ping CHEN Bin XIE Xiu-xiu LIN 
supported by the State Key Program of National Natural Science Foundation of China(Nos.11931003);National Natural Science Foundation of China(Nos.41974133)。
This paper aims to extend a space-time spectral method to address the multi-term time-fractional subdiffusion equations with Caputo derivative. In this method, the Jacobi polynomials are adopted as the basis functions...
关键词：space-time spectral methods multi-term time-fractional WELL-POSEDNESS a posteriori error estimates 
New Numerical Methods for the Coupled Nonlinear Schrdinger Equations被引量：2
《Acta Mathematicae Applicatae Sinica》2010年第2期205-218,共14页Qiu-bin Xu Qian-shun Chang 
In this paper, three numerical schemes with high accuracy for the coupled Schrodinger equations are studied. The conserwtive properties of the schemes are obtained and the plane wave solution is analysised. The split ...
关键词：Coupled nonlinear Schrodinger equation（CNLS） split step Runge-Kutta method compact scheme split step spectral method difference scheme 
CONVERGENCE OF SPECTRAL METHOD IN TIME FOR BURGERS' EQUATION被引量：1
《Acta Mathematicae Applicatae Sinica》1997年第3期314-320,共6页吴声昌 刘小清 
For solving Burgers' equation with periodic boundary conditions, this paper preseats a fully spectral discretisation method: Fourier Galerkin approximation in the spatial direction and Chebyshev pseudospectral approxi...
关键词：Spectral method Burgers' equation Galerkin approximation pseudospectral approximation 
SPECTRAL METHOD FOR ZAKHAROV EQUATION WITH PERIODIC BOUNDARY CONDITIONS
《Acta Mathematicae Applicatae Sinica》1989年第3期279-288,共10页周振中 
Project supported by the Science Foundation of the Chinese Academy of Sciences
This paper describes the spectral method for numerically solving Zakharov equation with periodicboundary conditions. This method is spectral method for spatial variable and difference method fortime variable. We make...
关键词：TH SPECTRAL METHOD FOR ZAKHAROV EQUATION WITH PERIODIC BOUNDARY CONDITIONS 犯七 
SPECTRAL METHOD FOR SOLVING TWODIMENSIONAL NEWTON-BOUSSINESQ EQUATIONS被引量：13
《Acta Mathematicae Applicatae Sinica》1989年第3期208-218,共11页郭柏灵 
In this paper, the spectral method for solving two-dimensional Newton-Boussinesq equations hasbeen proposed. The existence and uniqueness of global generalized solution for this equations, and theerror estimates and ...
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