A new sixth-order Runge-Kutta type method is developed for the numerical integration of the one-dimensional Schrodinger equation. The formula developed contains certain free parameters which allows it to be fitted automatically to exponential functions. We give a comparative error analysis with othe
Error analysis of exponential-fitted methods for the numerical solution of the one-dimensional Schrödinger equation
✍ Scribed by T.E. Simos
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 331 KB
- Volume
- 177
- Category
- Article
- ISSN
- 0375-9601
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
An eighth algebraic order exponentially ÿtted method is developed for the numerical integration of the Schr odinger equation. The formula considered contains certain free parameters which allow it to be ÿtted automatically to exponential functions. An comparative error analysis is also given. Numeri
A P-stable exponentially fitted method is developed in this paper for the numerical integration of the Schrödinger equation. An application to the bound-states problem (we solve the radial Schrödinger equation in order to find eigenvalues for which the wavefunction and its derivative are continuous
This algorithm uses a high-order, variable step Runge-Kutta like method in the region where the potential term dominates, and an exponential or Bessel fitted method in the asymptotic region. This approach can be used to compute scattering phase shifts in an efficient and reliable manner. A Fortran p
The Bessel and Neumann fitted methods for the numerical solution of the Schr'ddinger equation is the subject of this paper. An eighth-algebraic-order method for the numerical solution of the SchrSdinger equation is developed in this paper. The new method has free parameters which are defined such th