"Efficient B-Spline Series Method for Solving Fractional Fokker-Planck " by Mohammed Abuomar, Muhammed Ibrahem Syam et al.

Progress in Fractional Differentiation & Applications

Article Title

Efficient B-Spline Series Method for Solving Fractional Fokker-Planck Equation

Authors

Mohammed Abuomar, School of Mathematical Sciences, College of Science, Universiti Sains Malaysia, Penang, Malaysia\\ Department of Mathematical Sciences, College of Science, UAE University, Al-Ain, UAEFollow
Muhammed Ibrahem Syam, Department of Mathematical Sciences, College of Science, UAE University, Al-Ain, UAEFollow
Amirah Azmi, School of Mathematical Sciences, College of Science, Universiti Sains Malaysia, Penang, MalaysiaFollow

Author Country (or Countries)

UAE

Abstract

In this paper, an analytical method based on the B-spline method is used to study the fractional Fokker Planck equation. In this study, the B-Spline series method is derived, and its effectiveness in handling this problem is demonstrated. To illustrate the effectiveness of the suggested method, two examples are given. Since the maximum error in our approximation is only about 10−15, the suggested method is clearly very accurate as we can see from the fact that the approximate solution is very close to the exact solution. This study demonstrates the proposed approach’s potential and its applicability to additional physical models.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/090204

Recommended Citation

Abuomar, Mohammed; Ibrahem Syam, Muhammed; and Azmi, Amirah (2023) "Efficient B-Spline Series Method for Solving Fractional Fokker-Planck Equation," Progress in Fractional Differentiation & Applications: Vol. 9: Iss. 2, Article 4.
DOI: http://dx.doi.org/10.18576/pfda/090204
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol9/iss2/4

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