Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 16, Issue 11, Pages 4238-4249Publisher
ELSEVIER
DOI: 10.1016/j.cnsns.2011.03.033
Keywords
Lie-group shooting method; Group preserving scheme; Bratu problem
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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 epsilon 10,11, 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. (C) 2011 Elsevier B.V. All rights reserved.
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