Simulation and analysis of fractional model of Diffusion process and wave propagation via Caputo operator with Natural transform
Keywords:
Fractional model of Diffusion process and wave propagation; Caputo operator; Natural transform decomposition method; Existence and Uniqueness analysis.Abstract
This work focuses on the solution and analysis of the fractional model of Diffusion process and wave propagation. This model is used to study the diffusion process, anomalous diffusive system, wave propagation and various physical phenomena. The Natural transform
decomposition method is applied for getting the numerical solution. This method perfectly combines the Natural transforms and an adomian polynomial based technique. The existence and uniqueness is analysed by the aid of the fixed point theorem. The accuracy of the presented method is shown by calculating errors and comparing the exact and approximate solution graphically.
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