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An exponentially fitted eighth-order method for the numerical solution of the Schrödinger equation

✍ Scribed by T.E. Simos

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
133 KB
Volume
108
Category
Article
ISSN
0377-0427

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✦ Synopsis

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. Numerical and theoretical results indicate that the new method is much more e cient than other classical and exponentially ÿtted methods.

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