This study investigates into the combined effects of viscous dissipation and Joule heating on Magnetohydrodynamics (MHD) fluid flow, considering a viscous, incompressible fluid flowing over a porous, stretching horizontal sheet. The numerical analysis, employing the shooting technique, solves the dimensionless governing equations for momentum and heat transfer, yielding insights into the thermal behavior and fluid flow. Key parameters, including the Grashof number, permeability, Eckert number, heat source strength, and Prandtl number, are systematically examined, with results presented in detailed tables and discussions, providing a comprehensive understanding of their influences on MHD fluid flow.