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

References

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