The modified Broyden-variational method for solving nonlinear elliptic differential equations

In this paper, we present a numerical technique for solving nonlinear elliptic differential equations. It is based on the variational method which produces an underdetermined system of equations. We used the predictor–corrector technique to solve this system. We modify the Broyden update method and we use it as a corrector. Numerical results and conclusions will be presented.