In this article, we investigate the behavior of a progressively stretched porous sheet by studying the flow and heat transmission in the boundary layer. The novelty of the problem is to examine activation energy and Joule heating across the melting surface. The word for radiation of heat is included in the temperature computation. Similarity transformations are used to transform partial differential equations into nonlinear ordinary differential equations for problems involving movement, temperature, and concentration. The most effective solutions to these problems are found with the help of the MATLAB algorithm bvp4c. According to the data, the percentage increases along with the activation energy (Ea). The velocity declines with increasing of melting parameter and reflects on momentum boundary layer. The temperature lowered as the quantities of thermosphoresies parameter rises and reflects on thermal boundary layer. Increases in the and factors lead to a greater concentration and reflects on its boundary layer.