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Approximate Solution For Time-Space Fractional Soil Moisture Diffusion Equation And Its Application
Journal: International Journal of Scientific & Technology Research (Vol.5, No. 5)Publication Date: 2016-05-15
Authors : Bhausaheb R. Sontakke; Veena V. Sangvikar V. P. Kshirsagar;
Page : 197-202
Keywords : Time-Space fractional; soil moisture diffusion equation; finite difference; fractional derivatives; stability analysis; convergence analysis; Mathematica.;
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Abstract
The purpose of this paper is to develop an implicit finite difference method for time-space 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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Last modified: 2017-06-11 22:49:27