Speaker: Xie Shusen, Professor, Ocean University of China

Date: Dec 26, 2021

Time:17:00

Location: Lecture Hall 924, Block B, Zhixin Building

Sponsor: School of Mathematics, Shandong University

Abstract:

In this talk, Laplacian modified linearization combined with a high-order compact finite difference and ADI schemes for nonlinear parabolic problems are derived and analyzed. The algebraic systems obtained by the present schemes are linear and have the same coefficient matrix at different time steps, which are easy to implement. By using the discrete energy method, it is proven that the Laplacian modified finite difference schemes are unconditionally stable and convergent. Optimal order error estimates are given. Some numerical results are presented to show the effectiveness of our method.

Joint work with Wang Yanjie, Fu Hongfei, and Fu Kai

For more information, please visit:

https://www.view.sdu.edu.cn/info/1020/160821.htm