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A reliable study for extensions of the Bratu problem with boundary conditions
Author(s) -
Wazwaz AbdulMajid
Publication year - 2012
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1616
Subject(s) - mathematics , adomian decomposition method , extension (predicate logic) , boundary (topology) , work (physics) , boundary value problem , variety (cybernetics) , decomposition , mathematical analysis , partial differential equation , statistics , computer science , mechanical engineering , ecology , engineering , biology , programming language
In this paper, we present a reliable study on extensions of the Bratu problem with boundary conditions. The work rests mainly on Adomian decomposition method and Padé approximants. The study shows a variety of approximations, one for each extension. The work highlights the effect of the extensions on the structure of the approximate solutions. Copyright © 2012 John Wiley & Sons, Ltd.