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Bessel and Neumann fitted methods for the numerical solution of the Schrödinger equation

✍ Scribed by T.E. Simos

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
682 KB
Volume
42
Category
Article
ISSN
0898-1221

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✦ Synopsis

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 that the method is fitted to spherical Bessel and Neumann functions. A variablestep procedure is obtained based on the newly developed method and the method of Simos . The results produced based on the numerical solution of the radial SchrSdinger equation and of coupled differential equations arising from the SchrSdinger equation indicate that this new approach is more efficient than other well-known methods. (~) 2001 Elsevier Science Ltd. All rights reserved.

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