报告人: 冉茂华(四川师范大学)

报告题目：Linearized Crank-Nicolson scheme for the nonlinear time-space fractional Schrödinger equations

报告摘要：In this talk, a Crank-Nicolson difference scheme is derived for solving the nonlinear time-space fractional Schrödinger equations. The truncation error and stability of the
scheme are discussed in detail. The existence of the numerical solution is shown by the Brouwer fixed point theorem. For improving the calculating efficiency, a three-level linearized difference scheme is also proposed and analyzed. Both schemes are subsequently extended to the nonlinear coupled equations, and some similar results are given and proved. Several numerical experiments are included to verify the accuracy and efficiency of the two types of schemes, and comparison with the related work is presented.

报告人简介: 冉茂华，博士，四川师范大学数学科学学院副教授、硕士生导师,主要从事偏微分方程数值解研究, 特别在分数阶微分方程有限差分法方面做出过有一定特色的研究工作，主持过国家自然科学基金项目1项，在 《Communications in Nonlinear Science and Numerical Simulation》、《Applied Numerical Mathematics》、《Applied Mathematical Modelling》等计算与应用数学刊物上发表科研论文10余篇.

报告时间: 2019年3月16日上午10:50-11:50  

报告地点: 科技楼南楼702室