Spectral element method with quasi-linearization for solving Bratu s problem

This work presented here is the solution of the one-dimensional Bratus problem. The non-linear Bratus problem is rst linearised using the quasi-linearization method and then solved by the spectral element method. We use the Legendre polynomials for interpolation. Finally we show the results with a numerical example

Keywords:

Bratu problem , quasi-linearization , spectral element method , Legendre polynomials.