Using Legendre spectral element method with Quasi-linearization method for solving Bratu's problem

This work presented here is the solution of the one-dimensional Bratu’s problem. The nonlinear Bratu’s problem is first 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's problem , Quasi-linearization , Spectral element method , Legendre polynomials