• 论文 •

### 一类非线性伪抛物型方程的伪谱解法

1. 信息工程大学信息工程学院,信息工程大学信息工程学院,信息工程大学信息工程学院 郑州 450002,郑州 450002 大连理工大学海岸与近海工程国家重点实验室,辽宁大连 210023,郑州 450002 大连理工大学海岸与近海工程国家重点实验室,辽宁大连 210023
• 出版日期:2007-01-14 发布日期:2007-01-14

### PSEUDOSPECTRAL METHODS FOR SOME NONLINEAR PSEUDO-PARABOLIC EQUATION

1. Liu Linwen (Institute of Information Engineering, Information Engineering University, Zhengzhou 450002, China) Liu Chao Jiang Chengshun (Institute of Information Engineering, Information Engineering University, Zhengzhou 450002, China; State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 210023, Liaoning, China)
• Online:2007-01-14 Published:2007-01-14

In this paper, some nonlinear pseudoparabolic equation is considered. The semidiscrete and fully discrete pseudospectral schemes are constructed. The error estimations of these two schemes are obtained by using the theory of orthogonal mapping of ploynomials in Sobolev spaces. The numerical simulations of the fully discrete scheme are also provided. The numerical results show that the Fourier pseudospectral schemes are robust and efficient. They are suitable for improving the efficiency of encryption and decryption.
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