Taylor's Decomposition on Two Points for One-Dimensional Bratu Problem

ADIYAMAN M., SOMALI Ş.

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, vol.26, no.2, pp.412-425, 2010 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 26 Issue: 2
  • Publication Date: 2010
  • Doi Number: 10.1002/num.20443
  • Journal Name: NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.412-425
  • Keywords: Bratu problem, nonlinear eigenvalue problems, Taylor's Decomposition method, GELFAND PROBLEM
  • Dokuz Eylül University Affiliated: Yes

Abstract

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. (C) 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 26: 412-425, 2010