Title of article
The Lie-group shooting method for solving the Bratu equation
Author/Authors
Abbasbandy، نويسنده , , S. and Hashemi، نويسنده , , M.S. and Liu، نويسنده , , Chein-Shan، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2011
Pages
12
From page
4238
To page
4249
Abstract
For the Bratu problem, we transform it into a non-linear second order boundary value problem, and then solve it by the Lie-group shooting method (LGSM). LGSM allows us to search a missing initial slope and moreover, the initial slope can be expressed as a function of r ∈ [0, 1], where the best r is determined by matching the right-end boundary condition. The calculated results as compared with those calculated by other methods, illuminate the efficiency and precision of Lie-group shooting method (LGSM) for this problem.
Keywords
Lie-group shooting method , Group preserving scheme , Bratu problem
Journal title
Communications in Nonlinear Science and Numerical Simulation
Serial Year
2011
Journal title
Communications in Nonlinear Science and Numerical Simulation
Record number
1536416
Link To Document