<p>This study numerically investigates the transient magnetohydrodynamic flow of an electrically conducting Newtonian fluid with spatially varying viscosity in an inclined porous channel. The analysis accounts for the coupled influences of a uniform magnetic field, an induced electric field, gravitational acceleration, and Darcy–Brinkman flow resistance. A constant pressure gradient initiates the flow, subject to no-slip and physically consistent initial conditions. The non-dimensional Navier–Stokes equations are solved using a finite difference approach to characterize the velocity field, volumetric flow rate, and wall shear stresses. Results show that magnetic and electric forces substantially dampen the flow motion while spatial viscosity variation and porosity exert strong control over the shear and transport rates. The combined action of channel inclination and electromagnetic effects governs the overall momentum transport and flow development. The findings provide new physical understanding into magnetohydrodynamic and electrohydrodynamic transport in porous media with implications for advanced thermal management, electrochemical processing, and controlled fluid transport in engineering systems.</p>