This study examines the impact of cross-diffusion, internal heat sources, chemical reactions, and magnetohydrodynamics on the boundary layer flow of a nanofluid within a saturated porous medium subjected to an exponentially stretching sheet. The system of partial differential equations (PDEs) governing the problem are transformed into a set of coupled ordinary differential equations using similarity variables. Initially formulated for an infinite domain \(\left[ {0,\infty } \right)\) , the problem was then converted to a finite domain \(\left[ {0,1} \right]\) using wavelet transformations. The Taylor Wavelet Method (TWM) was employed to numerically solve the transformed equations. The findings demonstrate strong agreement with previous studies, validating the accuracy of the TWM. The analysis reveals that increased porous parameter and magnetic field suppress velocity but enhance thermal and concentration profiles, while the Soret number influences boundary layer thickness and concentration. The internal heat source elevates temperature but reduces concentration, and the chemical reaction parameter further decreases velocity and concentration. The study underscores the significance of these parameters in controlling heat and mass transfer, with applications in various industries including enhanced oil recovery, geothermal energy, chemical reactors, and biomedical engineering.
