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

Mohammed Abuomar, Muhammed Ibrahem Syam, Amirah Azmi

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)231-241
Number of pages11
JournalProgress in Fractional Differentiation and Applications
Volume9
Issue number2
DOIs
Publication statusPublished - 2023

Keywords

  • B-Spline method
  • Caputo derivative
  • Fractional Fokker-Planck equation

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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