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Eighth-order method for accurate computations for the elastic scattering phase-shift problem

✍ Scribed by T. E. Simos

Publisher: John Wiley and Sons
Year: 1998
Tongue: English
Weight: 176 KB
Volume: 68
Category: Article
ISSN: 0020-7608
DOI: 10.1002/(sici)1097-461x(1998)68:3<191::aid-qua5>3.0.co;2-q

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✦ Synopsis

A new hybrid eighth algebraic order two-step method with phase lag of order 12 is developed for computing elastic scattering phase shifts of the Schrodinger ëquation.

Based on this new method and on the method developed recently by Simos, we obtain a new variable-step procedure for the numerical integration of the Schrodinger ëquation.

Numerical results obtained for the integration of the radial Schrodinger equation änd for the integration of the coupled differential equations arising from the Schrodinger ëquation show that this new method is better than other finite-difference methods.

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