Numerical solution of the Schrödinger equations via a reliable algorithm
by Mohammad Heidari; Akbar Hashemi Borzabadi
International Journal of Computing Science and Mathematics (IJCSM), Vol. 6, No. 5, 2015

Abstract: In this paper, a reliable algorithm for solving Schrödinger equations is established. By second-order central difference scheme, the second-order spatial partial derivative of the Schrödinger equations are reduced to a system of first-order ordinary differential equations, that are solved by an efficient algorithm. The comparison of the numerical solution and the exact solution for some test cases shows that the given algorithm is easy and practical for extracting good approximate solutions of Schrödinger equations.

Online publication date: Tue, 10-Nov-2015

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