Journal of Jishou University(Natural Sciences Edition)

• Mathematics • Previous Articles     Next Articles

Computational Stability of the Difference Schemes for a Class of Nonlinear Burgers Equations

MA Yongliu,CAO Yanhua   

  1. (School of Mathematics and Physics,North China Electric Power University,Beijing 102206,China )
  • Online:2018-11-25 Published:2018-12-07


Heuristic analysis method is used to determine the stability of the difference schemes for nonlinear differential equations.With this method,we analyze the stability of a class of coupled nonlinear Burgers equations in differential format.The second order coefficient of dissipative term in the modified differential equation is found to be the necessary condition for ensuring the stability of the equation group difference scheme.

Key words: nonlinear Burgers equations, heuristic analysis method, difference schemes, computational stability

WeChat e-book chaoxing Mobile QQ