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 Schrödinger 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.


Mathematics and Statistics

Keywords and Phrases

Consistency; P-Stability; Periodicity; Schrödinger Equation; Singularly P-Stability

International Standard Serial Number (ISSN)

1687-1847; 1687-1839

Document Type

Article - Journal

Document Version

Final Version

File Type





© 2021 The Authors, All rights reserved.

Creative Commons Licensing

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.

Publication Date

01 Dec 2021

Included in

Mathematics Commons