Chun, Changbum; Ebaid, Abdelhalim; Lee, Mi Young; Aly, Emad An approach for solving singular two point boundary value problems: analytical and numerical treatment. (English) Zbl 1333.65091 ANZIAM J. 53E, E21-E43 (2012). Summary: The numerical treatment of two point singular boundary value problems has always been a difficult and challenging task due to the singularity behaviour that occurs at a point. Various efficient numerical methods have been proposed to deal with such boundary value problems. We present a new efficient modification of the Adomian decomposition method for solving singular boundary value problems, both linear and nonlinear. Numerical examples illustrate the efficiency and accuracy of the proposed method. Cited in 7 Documents MSC: 65L99 Numerical methods for ordinary differential equations 34B16 Singular nonlinear boundary value problems for ordinary differential equations 34A45 Theoretical approximation of solutions to ordinary differential equations Keywords:Adomian decomposition method; singular two-point boundary value problems PDFBibTeX XMLCite \textit{C. Chun} et al., ANZIAM J. 53E, E21--E43 (2012; Zbl 1333.65091) Full Text: DOI