Approximate Solution For TimeSpace Fractional Soil Moisture Diffusion Equation And Its Application
[Full Text]
AUTHOR(S)
Bhausaheb R. Sontakke, Veena V. Sangvikar (V. P. Kshirsagar)
KEYWORDS
TimeSpace fractional, soil moisture diffusion equation, finite difference, fractional derivatives, stability analysis, convergence analysis, Mathematica.
ABSTRACT
The purpose of this paper is to develop an implicit finite difference method for timespace fractional soil moisture diffusion equation (TSFSMDE). We prove a detailed analysis of the scheme and generate the discrete model. Also, we prove the scheme is unconditionally stable and convergent. As an application of the scheme we solve some test problems and their solutions are represented graphically by powerful software Mathematica.
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