A Comparison between Adomian Decomposition and Tau Methods. (11th July 2013)

• Record Type: Journal Article
• Authors: Bildik, Necdet; Inc, Mustafa
• Other Names: Kılıcman Adem Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2013(2013)
• Publication Date: 2013-07-11
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2013/621019
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : We present a comparison between Adomian decomposition method (ADM) and Tau method (TM) for the integro-differential equations with the initial or the boundary conditions. The problem is solved quickly, easily, and elegantly by ADM. The numerical results on the examples are shown to validate the proposed ADM as an effective numerical method to solve the integro-differential equations. The numerical results show that ADM method is very effective and convenient for solving differential equations than Tao method.