Chinese Quarterly Journal of Mathematics ›› 2004, Vol. 19 ›› Issue (3): 267-272.

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Pseudo-spectral Approximations for a Class of the Kdv-Burgers Type Equation

  

  1. College of Mathematics and Information Science, Henan University, Kaifeng 475001, China; De partment of Basic Courses, Zhengzhou Railway Vocational and Technical College, Zhengzhou 450052, China
  • Received:2002-10-21 Online:2004-09-30 Published:2024-03-12
  • About author:ZHANG Rui-feng(1964-),female,native of Kaifeng,Henan,an associate professor of Henan University,Ph.D.,engages in differential equations.
  • Supported by:
     Supported by the Natural Science Foundation of Henan Educational Committee(2003110005); Supported by the Natural Science Foundation of Henan University(XK02069);

Abstract: In this paper, the pseudo-spectral approximations for a class of the Kdv-Burgers type equation is presented. Convergence and stability of the approximation have been proved by Sobolev’s inequalities and the bounded extensive method of the nonlinear function. Finally, the numerical examples are proposed.

Key words: Kdv-Burgers , equation;pseudo-spectral , scheme;numerical , experiments 

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