Lecture on "High Accuracy Finite Difference Schemes for Fractional Sub-diffusionequations"
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Lecture on "High Accuracy Finite Difference Schemes for Fractional Sub-diffusionequations"
DateandTime: 2017-06-20 22:25:13

Speaker: Ji Cuicui, Doctor, Department of Computational Mathematics, School of Mathematics, Southeast University 

Date: June 20, 2017

Time: 10:00 am-11:00 am

Location: Room 1044, Block B, Zhixin Building, Central Campus

Sponsor: the School of Mathematics 


During the past several decades, the study of fractional partial differential equations (FPDEs) has attracted many scholars' attention. The most important reason is that the FPDEs can be more accurate than the classical integer order differential equations in the description of some physical and chemical processes because the fractional operators enjoy the nonlocal connectivity. In this talk, based on the weighted and shifted Gr nwald operator, a high order compact finite difference scheme is derived for the 1D fractional sub-diffusion equation. It is proved that the difference scheme is unconditionally stable and convergent by the energy method. For all (0,0.956), the convergence order is, where is the temporal step size and is the spatial step size. Then the extension to the 2D case is taken into account. Finally, some numerical examples are given to confirm the theoretical results.


Ji Cuicui is a Doctor at the Department of Computational Mathematics of the School of Mathematics at Southeast University. 

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Edited by: Zhang Xinyuan

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