The Solutions of the Linear Fractional Diffusion and Diffusion-convection Equations via the Regular Perturbation Method (RPM)
Bationo Jérémie Yiyuréboula, Bassono Francis
Asian Research Journal of Mathematics · pp. 370–384 · Published 1 Nov 2022
10.9734/arjom/2022/v18i11616Abstract
In this paper, we implement Regular Perturbation Method (RPM) for the Solving fractional diffusion and diffusion-convection equations, in order to determine the analytical solutions of some linear fractional diffusion and linear fractional diffusion-convection equations. In general, the solving using this method allow to obtain exact or approximate solutions. For the case of the diffusion and diffusion-convection equations solved in this document, the solutions obtained are exact. By comparing these solutions with those obtained by other researchers using other methods for a certain value of the parameter α, we obtain the same results.
Cited by 1
Bationo Jérémie Yiyuréboula, Yaya Moussa, Bassono Francis · Journal of Advances in Mathematics and Computer Science · 2022
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