A Local Radial Point Interpolation Method for Two-Dimensional Schrödinger Equation

Autor: Xing Hui Cai, Wei Gang Zhai, Jiang Ren Lu, Xin Li Sun
Rok vydání: 2012
Předmět:
Zdroj: Applied Mechanics and Materials. :1888-1893
ISSN: 1662-7482
DOI: 10.4028/www.scientific.net/amm.268-270.1888
Popis: A local radial point interpolation method is employed to the simulation of the time dependent Schrödinger equation with arbitrary potential function. Local weak form of the time dependent Schrödinger equation is obtained and radial point interpolation shape functions are applied in the space discretization. Computations are carried out for an example of time dependent Schrödinger equation having analytical solutions. Numerical results agreed with analytical solutions very well.
Databáze: OpenAIRE