- - - Department of Applied Mathematics, University of Kurdistan, Sanandaj, Iran
- - - Department of Applied Mathematics, University of Kurdisatn

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.

Bratu's problem, Quasi-linearization, Spectral element method, Legendre polynomials