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G. Adomian, “The Decomposition Method for Nonlinear Dynamical Systems,” Journal of Mathematical Analysis and Applications, Vol. 120, No. 1, 1986, pp. 370-383. doi:10.1016/0022-247X(86)90223-4

has been cited by the following article:

• TITLE: Modified Adomian Techniques Applied to Non-Linear Volterra Integral Equations

  AUTHORS: Haifa H. Ali, Fawzi Abdelwahid

  KEYWORDS: Adomian Decomposition Method; Volterra Integral Equations

  JOURNAL NAME: Open Journal of Applied Sciences, Vol.3 No.2, June 20, 2013

  ABSTRACT: In this work, we studied the performance of modified techniques of Adomian method applied to non-linear Volterra integral equations of the second kind. This study shows that the modified techniques are reliable, efficient and easy to use through recursive relations that involve simple integrals. Furthermore, we found that the right choice and the proper implementation of the modified techniques reduce the computational difficulties and increase the speed of convergent, comparing with the standard Adomian method.