Application of Special Functions in One Dimensional Advective Diffusion Problem

F.Y.Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V55P507

International Journal of Mathematics Trends and Technology

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Volume 55 | Number 1 | Year 2018 | Article Id. IJMTT-V55P507 | DOI : https://doi.org/10.14445/22315373/IJMTT-V55P507

Application of Special Functions in One Dimensional Advective Diffusion Problem

F.Y.Ayant

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 et al [4] use the product of the class of multivariable polynomials and the multivariable H-function defined by Srivastava et al [11,12] to obtain the analytic solution. Then, we employ the product of the generalized hypergeometric function, class of multivariable polynomials and the multivariable Aleph-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 H-function., Aleph-function of two variables.

References

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Citation :

F.Y.Ayant, "Application of Special Functions in One Dimensional Advective Diffusion Problem," International Journal of Mathematics Trends and Technology (IJMTT), vol. 55, no. 1, pp. 48-58, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V55P507