TY - JOUR
T1 - Efficient B-Spline Series Method for Solving Fractional Fokker-Planck Equation
AU - Abuomar, Mohammed
AU - Syam, Muhammed Ibrahem
AU - Azmi, Amirah
N1 - Publisher Copyright:
© 2023 NSP Natural Sciences Publishing Cor.
PY - 2023
Y1 - 2023
N2 - 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.
AB - 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.
KW - B-Spline method
KW - Caputo derivative
KW - Fractional Fokker-Planck equation
UR - http://www.scopus.com/inward/record.url?scp=85152441623&partnerID=8YFLogxK
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U2 - 10.18576/pfda/090204
DO - 10.18576/pfda/090204
M3 - Article
AN - SCOPUS:85152441623
SN - 2356-9336
VL - 9
SP - 231
EP - 241
JO - Progress in Fractional Differentiation and Applications
JF - Progress in Fractional Differentiation and Applications
IS - 2
ER -