Chebyshev谱-Euler混合方法求解一类非线性Burgers方程

SOLVING A CLASS OF NONLINEAR BUGERS EQUATION BY CHEBYSHEV SPECTRUM-EULER METHOD

将Chebyshev谱方法与Euler方法相结合,对一类非线性Burgers方程进行数值求解,通过数值模拟将其与有限差分法和粒子无网格线混合格式MPS-MAFL方法进行了比较,结果表明这种方法对于求解非线性Burgers方程具有较好的效果.

This paper mainly combines chebyshev spectrum method and finite difference together to find solutions to the mixed Chebyshev spectral-Euler method constructed towards a Class of Nonlinear Burgers equation. At last, we compare it with Finite difference as well as MPS- MAFL hybrid method, which shows the result that this method has better effect on solving this kind of nonlinear Burgers equation.