Finite element method for the stationary generalized Burgers-Huxley equation

Abstract

In this work we deal with the evaluation of the generalized Burgers-Huxley equation which is a nonlinear elliptic problem . The existence and uniqeness of weak solutions are mentioned in detail by the use of a Faedo-Galerkin approach and also by the use of Fixed point theory. A priory error estimates for conforming finite element method are also derived.