A new algorithm for solving differential equations of Lane-Emden type

Authors
Wazwaz, AM
Citation
Am. Wazwaz, A new algorithm for solving differential equations of Lane-Emden type, APPL MATH C, 118(2-3), 2001, pp. 287-310
Citations number
12
Categorie Soggetti
Engineering Mathematics
Journal title
APPLIED MATHEMATICS AND COMPUTATION
ISSN journal
00963003 → ACNP
Volume
118
Issue
2-3
Year of publication
2001
Pages
287 - 310
Database
ISI
SICI code
0096-3003(20010309)118:2-3<287:ANAFSD>2.0.ZU;2-E
Abstract
In this paper, a reliable algorithm is employed to investigate the differen tial equations of Lane-Emden type. The algorithm rests mainly on the Adomia n decomposition method with an alternate framework designed to overcome the difficulty of the singular point. The proposed framework is applied to a g eneralization of Lane-Emden equations so that it can be used in differentia l equations of the same type. (C) 2001 Elsevier Science Inc. All rights res erved.