Shahid Chamran University of AhvazJournal of Applied and Computational Mechanics2383-45365120190101High Order Compact Finite Difference Schemes for Solving Bratu-Type Equations911021359610.22055/jacm.2018.25696.1288ENRaziyehGharechahiDepartment of Mathematics, University of Sistan and Baluchestan, Zahedan, IranMaryamArab AmeriDepartment of Mathematics, Faculty of Mathematics, University of Sistan and Baluchestan, Zahedan, IranMortezaBisheh-NiasarDepartment of Applied Mathematics, Faculty of Mathematical Science, University of Kashan, Kashan, IranJournal Article20180430In the present study, high order compact finite difference methods is used to solve one-dimensional Bratu-type equations numerically. The convergence analysis of the methods is discussed and it is shown that the theoretical order of the method is consistent with its numerical rate of convergence. The maximum absolute errors in the solution at grid points are calculated and it is shown that the presented methods are efficient and applicable for lower and upper solutions.https://jacm.scu.ac.ir/article_13596_d3de3c9e0bf843b351e151cea5181401.pdf