Numerical simulation for the variable-order Galilei invariant advection diffusion equation with a nonlinear source term

نویسندگان

  • Chang-Ming Chen
  • Fawang Liu
  • Vo V. Anh
  • Ian W. Turner
چکیده

In this paper, we consider the variable-order Galilei advection diffusion equation with a nonlinear source term. A numerical scheme with first order temporal accuracy and second order spatial accuracy is developed to simulate the equation. The stability and convergence of the numerical scheme are analyzed. Besides, another numerical scheme for improving temporal accuracy is also developed. Finally, some numerical examples are given and the results demonstrate the effectiveness of theoretical analysis.

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عنوان ژورنال:
  • Applied Mathematics and Computation

دوره 217  شماره 

صفحات  -

تاریخ انتشار 2011