Application of Sumudu Decomposition Method to Solve Nonlinear System Volterra Integrodifferential Equations. (28th April 2014)

• Record Type: Journal Article
• Authors: Eltayeb, Hassan; Kılıçman, Adem; Mesloub, Said
• Other Names: Jleli Mohamed Boussairi Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2014(2014)
• Publication Date: 2014-04-28
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2014/503141
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : We develop a method to obtain approximate solutions for nonlinear systems of Volterra integrodifferential equations with the help of Sumudu decomposition method (SDM). The technique is based on the application of Sumudu transform to nonlinear coupled Volterra integrodifferential equations. The nonlinear term can easily be handled with the help of Adomian polynomials. We illustrate this technique with the help of three examples and results of the present technique have close agreement with approximate solutions which were obtained with the help of Adomian decomposition method (ADM).