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Fourth derivative singularly P-stable method for the numerical solution of the Schrodinger equation
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DOI：10.1186/s13662-021-03662-9.png)
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Abstract
En 中文
In this paper, we construct a method with eight steps that belongs to the family of Obrechkoff methods. Due to the explicit nature of the new method, not only does it not require another method as predictor, but it can also be considered as a suitable predictive technique to be used with implicit methods. Periodicity and error terms are studied when applied to solve the radial Schrodinger equation, considering different energy levels. We show its advantages in terms of accuracy, consistency, and convergence in comparison with other methods of the same order appearing in the literature.
Keywords:
Schrodinger equation
Consistency
Periodicity
P-stability
Singularly P-stability
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3.1
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4.7K
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