报告题目 (Title)：用于一些具有挑战性的分数阶偏微分方程数值积分的无网格技术（A mesh free technique for numerical integration of some challenging fractional order partial differential equations）

报告人 (Speaker)：Abdul Samad 研究员（AWKUM University）

报告时间 (Time)：2023年11月8日 (周三) 15:30-17:00

报告地点 (Place)： 腾讯会议288-985-862

邀请人(Inviter)：Jan Muhammad

主办部门：理学院数学系

报告摘要：In this research, meshfree collocation method is discussed for some multi-term time-space fractional order partial differential equations (PDEs). The time fractional derivatives are dealt with by Caputo fractional derivative operator and finite difference method while the space fractional derivative terms are dealt with by Riesz derivative operator, Riemann-Liouville derivative operator, Grunwald-Letnikov fractional derivative operator and then the space terms are discretized by meshfree radial basis function method based on Gaussian function. The stability and convergence of the proposed method are also discussed and the accuracy is assessed by L∞ (maximum norm).