Application of the Some Blaise Abbo (SBA) Method to Solving the Time-fractional Schrödinger Equation and Comparison with the Homotopy Perturbation Method

Joseph Bonazebi Yindoula; Yanick Alain Servais Wellot; Bamogo Hamadou; Francis Bassono; Youssouf Paré

doi:10.9734/arjom/2022/v18i11601

Application of the Some Blaise Abbo (SBA) Method to Solving the Time-fractional Schrödinger Equation and Comparison with the Homotopy Perturbation Method

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Published: 2022-10-17

DOI: 10.9734/arjom/2022/v18i11601

Page: 271-286

Issue: 2022 - Volume 18 [Issue 11]

Joseph Bonazebi Yindoula

Marien M’Gouabi University, Congo.

Yanick Alain Servais Wellot

Marien M’Gouabi University, Congo.

Bamogo Hamadou

Joseph Ki-Zerbo University, Burkina Faso.

Francis Bassono

Joseph Ki-Zerbo University, Burkina Faso.

Youssouf Paré *

Joseph Ki-Zerbo University, Burkina Faso.

*Author to whom correspondence should be addressed.

Abstract

We have solved the Schrödinger equation with the HPM method and the SBA method. We have noticed that with these two methods we find the same result.

Keywords: Fractional equation, Some Blaise Abbo (SBA) method, the Homotopy Perturbation Method (HPM), Schrödinger equation, fractional Partial Differential Equations (PDEs)

How to Cite

Yindoula, J. B., Wellot, Y. A. S., Hamadou, B., Bassono, F., & Paré, Y. (2022). Application of the Some Blaise Abbo (SBA) Method to Solving the Time-fractional Schrödinger Equation and Comparison with the Homotopy Perturbation Method. Asian Research Journal of Mathematics, 18(11), 271–286. https://doi.org/10.9734/arjom/2022/v18i11601

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