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

Document Type : Research Paper


1 Department of Applied Mathematics, University of Kurdistan, Sanandaj, Iran

2 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.


Volume 7, Issue 4 (Special Issue)
Selected Papers of ICNS2019 (4th International Conference on Natural Sciences -Mathematics & Computer)
August 2019
Pages 580-588
  • Receive Date: 26 June 2019
  • Revise Date: 26 August 2019
  • Accept Date: 26 July 2019