An Optimized Runge-Kutta Method for the Numerical Solution of the Radial Schrodinger Equation

作者：Ming Qinghe; Yang Yanping; Fang Yonglei^*

来源：Mathematical Problems in Engineering, 2012, 867948.

DOI：10.1155/2012/867948

An optimized explicit modified Runge-Kutta (RK) method for the numerical integration of the radial Schrodinger equation is presented in this paper. This method has frequency-depending coefficients with vanishing dispersion, dissipation, and the first derivative of dispersion. Stability and phase analysis of the new method are examined. The numerical results in the integration of the radial Schrodinger equation with the Woods-Saxon potential are reported to show the high efficiency of the new method.

• 出版日期2012
• 单位枣庄学院