Chebyshev wavelets method for solving Bratu’s problem
Department of Science, Huaihai Institute of Technology, Lianyungang, Jiangsu, 222005, China
Boundary Value Problems 2013, 2013:142 doi:10.1186/1687-2770-2013-142Published: 2 June 2013
A numerical method for one-dimensional Bratu’s problem is presented in this work. The method is based on Chebyshev wavelets approximates. The operational matrix of derivative of Chebyshev wavelets is introduced. The matrix together with the collocation method are then utilized to transform the differential equation into a system of algebraic equations. Numerical examples are presented to verify the efficiency and accuracy of the proposed algorithm. The results reveal that the method is accurate and easy to implement.