This article investigates the impact of nanosized particles (Cu and Ag) on the thermal performance of partially ionized non-Newtonion liquid (Casson fluid) exposed to non-uniform magnetic field in the presence of thermal radiations. Mathematical models based on basic governing laws are complex, nonlinear and coupled which are solved by finite element method in order to investigate the underlying physics. The results are validated by comparing with already published benchmarks. Convergence, error and mesh-free analysis are done. The CPU times of present method and method used in published benchmark are noted. The present method has less CPU time than CPU time required by method used in published benchmark. The wall shear stress increases, whereas wall heat flux decreases as the intensity of the magnetic field is increased. This observation is noted for the both cases of Cu and Ag nanoparticles. However, the wall shear stress for the case of Ag nanoparticles is greater than the wall shear stress for the case of Cu nanofluid. The usage of Ag nanoparticles is recommended as their dispersion in the base fluid increases the effective thermal conductivity in comparison of Cu nanofluid. Hall and ion-slip currents have shown remarkable increase in velocity and a significant reduction.