A General Algorithm for Solving the Fractional Reaction Diffusion Model Arising in Bacterial Colony by Homotopy Analysis Transform Method
نویسنده
چکیده
Abstract: In this paper, we study the approximation of analytical solution for Fractional Reaction Diffusion model which describes the evaluation of bacterium Bacillus, which grows on the surface of thin agar plates, by using homotopy analysis transform method. The fractional derivatives are described by caputo sense. A comparative study between the homotopy analysis transform method and the classical Adomain’s Decomposition Method is conducted. Results show that the homotopy analysis transform method is accurate when applied to a fractional reaction diffusion model. Numerical results with Tables and Figures are given.
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