The College of Education for Pure Sciences discusses a master's thesis in the Department of Mathematics at the University of Basrah  on (Petrov Wick Calcorn's method for finite elements, the solution of the nonlinear Berger equation)
The thesis presented by the researcher (Maryam Muhammad Shenawah Muhammad) included
In the Petrov-Wick method as the finite element corner, we know two spaces, the test function space and the experimental function space. The Petrov-Wick method as the finite element corner was proposed to solve the Berger nonlinearity equation when h>ε (ε is diffusion coefficient and h is mesh size)
Some of the researchers who used the Wake-Clark method were reviewed. And give a simplified idea on this method. Some spaces of the Petrov-Wick method were defined. Then we proved the stability and derivation of the ideal error order by the two standards L^2, H^1 (for the Petrov-Wick method as the semi-discrete corner), as well as the derivation of the ideal error order by the standard L^2 (for the Petrov method Wake as the completely separate corner). Finally, the numerical results of Petrowick-Clarkin's method for finite elements were reviewed to confirm the theoretical results obtained, where it was noted that a significant improvement and regularity in the numerical results of Petrowick-Clarkin's method for finite elements..