Numerical solutions of fractional Fokker-Planck equation with hybrid method of solution | ||
| AUT Journal of Mathematics and Computing | ||
| دوره 7، شماره 2، 2026، صفحه 137-149 اصل مقاله (487.59 K) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22060/ajmc.2024.23176.1238 | ||
| نویسندگان | ||
| Oludapo Omotola Olubanwo؛ Sunday Senayon Idowu؛ Julius Temitayo Adepoju* ؛ Abiodun Sufiat Ajani | ||
| Department of Mathematical Sciences, Faculty of Science, Olabisi Onabanjo University, Ago-Iwoye, Ogun State, Nigeria | ||
| چکیده | ||
| The work employs a numerical method for the solution of Fractional Fokker-Planck Equation (FFPE) using the Homotopy Perturbation and Aboodh Transform Method (HPATM). Fractional derivatives issues are successfully solved using the hybrid approach, which yields rapidly convergent solutions. By resolving two cases and contrasting estimated outcomes with exact solutions for various fractional orders, the correctness of the technique was proven. The accuracy of the technique is demonstrated by the good match between the precise and approximation solutions at $\alpha=1$. The findings indicate that fractional differential equations may be solved with a strong and dependable approach using HPATM, which can also be used to describe anomalous diffusion and other intricate physical phenomena. | ||
| کلیدواژهها | ||
| Fokker-Planck equation؛ FPDE؛ HPM؛ Integral transforms | ||
| مراجع | ||
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