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

چکیده مقاله

This work presented here is the solution of the one-dimensional Bratus problem. The nonlinear Bratus 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. © 2019 University of Tabriz. All Rights Reserved.