The Lie-group shooting method for solving the Bratu equation
Resource
Communications in Nonlinear Science and Numerical Simulation, 16(11), 4238-4249
Journal
Communications in Nonlinear Science and Numerical Simulation
Pages
4238-4249
Date Issued
2011
Date
2011
Author(s)
Abbasbandy, S.
Hashemi, M.S.
Liu, Chein-Shan
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. © 2011 Elsevier B.V.
Type
journal article
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