<p>The study explores the steady, laminar, incompressible magnetohydrodynamic flow of a Williamson hybrid nanofluid (HNF), where magnesium oxide (MgO) and silver (Ag) nanoparticles are dispersed in a water-base fluid over a stretching sheet. The main focus is on the analyzing its heat transfer characteristics and thermal performance. By using similarity transformations, the partial differential equations (PDEs) for energy and momentum conservation are converted into nonlinear ordinary differential equations (ODEs). The spectral collocation method with Legendre Wavelets (SCMLW) is utilized to solve these equations numerically. This article examines the thermophysical characteristics of the HNFs while also considering the effects of nanoparticle shape parameters. To examine their impacts on the temperature distributions, velocity profiles, and the Nusselt number and skin friction coefficient, important parameters including Prandtl number, Weissenberg number, Biot number, and Eckert number are varied. These results provide significant insights for improving heating management in engineering applications, especially in sectors utilized advanced cooling technologies.</p>