SpringerOpen Newsletter

Receive periodic news and updates relating to SpringerOpen.

Open Access Open Badges Research

Chebyshev wavelets method for solving Bratu’s problem

Changqing Yang* and Jianhua Hou

Author affiliations

Department of Science, Huaihai Institute of Technology, Lianyungang, Jiangsu, 222005, China

For all author emails, please log on.

Citation and License

Boundary Value Problems 2013, 2013:142  doi:10.1186/1687-2770-2013-142

Published: 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.