科研之友
微信
新浪微博
Facebook
分享链接
摘要
We consider a fractal scalar conservation law, that is to say, a conservation law modified by a fractional power of the Laplace operator, and we propose a numerical method to approximate its solutions. We make a theoretical study of the method, proving in the case of an initial data belonging to L(infinity) boolean AND BV that the approximate solutions converge in L(infinity) weak-* and in L(p) strong for p < infinity, and we give numerical results showing the efficiency of the scheme and illustrating qualitative properties of the solution to the fractal conservation law.
- 出版日期2010-1
