Application of Special Functions in One Dimensional Advective Diffusion Problem

F.Y.Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V61P519

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 61 | Number 2 | Year 2018 | Article Id. IJMTT-V61P519 | DOI : https://doi.org/10.14445/22315373/IJMTT-V61P519

Application of Special Functions in One Dimensional Advective Diffusion Problem

F.Y.Ayant

Citation :

F.Y.Ayant, "Application of Special Functions in One Dimensional Advective Diffusion Problem," International Journal of Mathematics Trends and Technology (IJMTT), vol. 61, no. 2, pp. 133-141, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V61P519

Abstract

In the present paper, we construct an one dimensional advective diffusion model problem to evaluate the substance concentration distribution along x-axis between x=-1 and x=1. Here, the diffusivity of the substance and the velocity of the solvent flow are both considered as a variable. Kumar and Satyarth [6] use the product of the class of multivariable polynomials and the multivariable H-function defined here to obtain the analytic solution. Then, we employ the product of the generalized hypergeometric function, class of multivariable polynomials and the multivariable Gimel-function to obtain an analytic formula of our problem. Finally, some particular cases will be given.

Keywords

Multivariable Aleph-function, , classes of multivariable polynomials, generalized hypergeometric function, advective-diffusion model problem, expansion formula, multivariable Gimel-function.

References

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