Abstract
In this article, the study is to explore the series solution of magnetohydrodynamics, first-order chemically reacting Maxwell fluid past a stretching sheet concentrated in a porous medium along with Soret and Dufour effects. The resemblance transformation is applied to convert the said time-dependent phenomena into a family of ordinary differential equations. Then, elucidated by an analytic-numeric approach named as homotopy analysis method (HAM) where numerical simulation is carried out carefully by a powerful software MATHEMATICA. Furthermore, the impact of disparate physical factors on the profiles of the flow model is presented vividly. The locus of the study is on the strength of the solution technique, so the error graphs disclose the fact that as the number of iterations enhanced, square residual profiles declines to 0 more sharply.