شماره ركورد كنفرانس :
5263
عنوان مقاله :
An efficient meshless numerical method for two-dimensional time-dependent Schr {o}dinger equation
پديدآورندگان :
Habibirad Ali a.habibirad@sutech.ac.ir ُDepartment of Mathematics, Shiraz University of Technology, Shiraz, Iran , Hesameddini Esmail hesameddini@sutech.ac.ir ُDepartment of Mathematics, Shiraz University of Technology, Shiraz, Iran. , Azin Hadis h.azin1370@gmail.com Department of Applied Mathematics, Faculty of Mathematics and Computer Sciences, Hakim Sabzevari University, Iran.
كليدواژه :
Meshless local Petrov , Galerkin method , 2D time dependent Schrodinger equation , Radial point interpolation (RPI)
عنوان كنفرانس :
54 امين كنفرانس رياضي ايران
چكيده فارسي :
In the current work, we present an efficient meshfree numerical method to solve the two-dimensional time-dependent Schr {o}dinger equation. The local weak form is constructed over the local sub-domain, in order to diminish the solution of two-dimensional time-dependent Schr {o}dinger equation into a linear system of algebraic equations. Moreover, a numerical example is provided and the results are compared to finite difference solutions to verify the efficiency of our algorithm.
