This document summarizes a study on the effect of a non-uniform heat source on fluid flow over a stretching sheet with an applied magnetic field. The fluid is modeled as an upper-convected Maxwell (UCM) fluid. Similarity transformations are used to reduce the governing non-linear partial differential equations to an ordinary differential equation, which is then solved numerically using a fourth-order Runge-Kutta method. Graphical results are presented showing the effects of various parameters like the elastic parameter, Eckert number, magnetic parameter, and non-uniform heat source on the velocity and temperature profiles. The key findings are that a non-uniform heat sink provides more effective cooling than a heat source, and increasing the elastic