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IJSTR >> Volume 5 - Issue 5, May 2016 Edition



International Journal of Scientific & Technology Research  
International Journal of Scientific & Technology Research

Website: http://www.ijstr.org

ISSN 2277-8616



Approximate Solution For Time-Space Fractional Soil Moisture Diffusion Equation And Its Application

[Full Text]

 

AUTHOR(S)

Bhausaheb R. Sontakke, Veena V. Sangvikar (V. P. Kshirsagar)

 

KEYWORDS

Time-Space 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 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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