The aim of this study is designing the shape of corona virus (COVID-19) using the partial differential equation (PDE). The technique improvement was based on using an elliptic PDE as well as a set of four boundary conditions. The PDE method can generate surfaces of geometries from a small number of parameters. Also, the shape of the surfaces, which is generated by the PDE method, is based on a boundary representation and it can easily be changed since it is described by data distributed around the boundaries. In this study, the shape of the generated PDE-based representation of a corona virus has been sketched by using MATLAB program. The results showed that the PDE method is appropriate for representing the shape of a corona virus. Besides that, the data, concerning the radius and height from the corona virus, are then used to get four equations. These equations can be used for future prediction in modeling COVID-19. In conclusion, the PDE method can produce smooth parametric surface representations of any given shapes of viruses. The study involves that the PDE method has ability to generate surfaces of complex geometries.