2021/10/31 by Shaban Mohammadi, Mohammadi, Shaban, Seyed Reza Hejazi +1
Mathematics · #Fokker-Planck-Kolmogorov differential equations #Fractional Differential Equations Solutions #Fuzzy Systems and Optimization #Haar wavelet #Nonlinear Differential Equations Analysis #Time fractional differential equations
paper · doi:10.82521/ijo.2022.1018862
openalex publication_date 2021/10/31 · openalex created_date 2025/12/27 · openalex updated_date 2026/07/07
The purpose of this paper is to present an efficient numerical method for finding numerical solutions Fokker-Planck-Kolmogorov time-fractional differential equations. The Haar Wave was the first to be introduced. The Fokker-Planck-Kolmogorov time-fractional differential equation is converted to the linear equation using the Haar wavelet operation matrix in this technique. This method has the advantage of being simple to solve. The simulation was carried out using MATLAB software. Finally, the proposed strategy was used to solve certain problems. The results revealed that the suggested numerical method is highly accurate and effective when used to Fokker-Planck-Kolmogorov time fraction differential equations. The results for some numerical examples are documented in table and graph form to elaborate on the efficiency and precision of the suggested method. Moreover, for the convergence of the proposed technique, inequality is derived in the context of error analysis.