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

Research Article | Open Access | Download PDF

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

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

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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