The study of melting thermal process in ternary nanofluidic system (MoS2-SiO2-Au)/H2O near the point of separation is a fascinating research area. The potential applications of SPFs frequently occurs in analytical chemistry, life sciences, and in mechanical engineering etc. Therefore, the current attempt is made towards the development of new ternary SPFM by considering the thermal radiations, Joule heating, combined convection and magnetic field that act normally to the working domain. Further, using transformation functions and the ternary nanofluid characteristics, the new third order SPFM is developed and implemented RK as mathematical tool. It is examined that the particles movement enlarges for and . The ternary nanofluids velocity increased slowly due to stronger internal viscous forces. Further, the temperature of ternary fluidic system (TFS) increased rapidly for assisting case and keeping the nanoparticles concentration 0.06. Moreover, thermal conductivity of nanofluid enhanced by increasing the amount of nanoparticles (MoS2-SiO2-Au) which directly influenced the model dynamics.