Modifications of Adomian decomposition method for certain classes of singular differential equations of the second order

Authors:
Zdenék Šmarda
Affiliations:
Department of Mathematics, Faculty of Electrical Engineering and Communication, Brno University of Technology, Brno, Czech Republic
Venue:
MMES'11/DEEE'11/COMATIA'11 Proceedings of the 2nd international conference on Mathematical Models for Engineering Science, and proceedings of the 2nd international conference on Development, Energy, Environment, Economics, and proceedings of the 2nd international conference on Communication and Management in Technological Innovation and Academic Globalization
Year:
2011

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Abstract

In this paper an efficient modification of Adomian decomposition method is introduced for singular initial value problems. Using this modification we obtain exact solutions for certain classes of singular initial value problems whereas the standart Adomian decomposition method gives only approximate solutions. The approach is illustrated with few examples.