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Taylor's Decomposition on two points for one‐dimensional Bratu problem
Author(s) -
Adiyaman Meltem Evrenosoglu,
Somali Sennur
Publication year - 2010
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.20443
Subject(s) - mathematics , taylor series , eigenvalues and eigenvectors , decomposition method (queueing theory) , decomposition , partial differential equation , partial derivative , mathematical analysis , discrete mathematics , ecology , physics , quantum mechanics , biology
In this article, Taylor's Decomposition method is introduced for solving one‐dimensional Bratu problem. The numerical scheme is based on the application of the Taylor's decomposition to the corresponding first order differential equation system. The technique is illustrated with different eigenvalues and the results show that the method converges rapidly and hence approximate the exact solution very accurately for relatively large step sizes. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2010