1
Department of Applied Mathematics, University of Kurdistan, Sanandaj, Iran
2
Department of Applied Mathematics, University of Kurdisatn
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.
Lotfi, M., & AliPanah, A. (2019). Using Legendre spectral element method with Quasi-linearization method for solving Bratu's problem. Computational Methods for Differential Equations, 7(Issue 4 (Special Issue)), 580-588.
MLA
Mahmoud Lotfi; Amjad AliPanah. "Using Legendre spectral element method with Quasi-linearization method for solving Bratu's problem". Computational Methods for Differential Equations, 7, Issue 4 (Special Issue), 2019, 580-588.
HARVARD
Lotfi, M., AliPanah, A. (2019). 'Using Legendre spectral element method with Quasi-linearization method for solving Bratu's problem', Computational Methods for Differential Equations, 7(Issue 4 (Special Issue)), pp. 580-588.
VANCOUVER
Lotfi, M., AliPanah, A. Using Legendre spectral element method with Quasi-linearization method for solving Bratu's problem. Computational Methods for Differential Equations, 2019; 7(Issue 4 (Special Issue)): 580-588.
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