The field of dusty plasmas has become a vigorous and established area of research for a number of decades now. In this work, two computational models are mainly developed to study possible plasma turbulence during the charged aerosol release experiments in space plasmas. Meanwhile, its applications for magnetized dusty plasmas for complex plasma research with upcoming experiment facilities at Auburn University is considered. Two new hybrid and full fluid two-dimensional computational models have been developed to investigate instabilities in nonuniform magnetized dusty plasmas. The magnetic fields have been applied to study the effect on plasma wave excitation.