@article { author = {Lotfi, Mahmoud and AliPanah, Amjad}, title = {Using Legendre spectral element method with Quasi-linearization method for solving Bratu's problem}, journal = {Computational Methods for Differential Equations}, volume = {7}, number = {Issue 4 (Special Issue)}, pages = {580-588}, year = {2019}, publisher = {University of Tabriz}, issn = {2345-3982}, eissn = {2383-2533}, doi = {}, abstract = {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}, url = {https://cmde.tabrizu.ac.ir/article_9207.html}, eprint = {https://cmde.tabrizu.ac.ir/article_9207_6ca3643e72007453764061ff4e553f35.pdf} }