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A new modification of the Adomian decomposition method for nonlinear integral equations

Hossein Jafari, E Tayyebi, S Sadeghi, C Khalique
2014 Int. J. Adv. Appl. Math. and Mech   unpublished

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In this paper, we present a new modification of Adomian decomposition method (ADM) for finding exact solutions of nonlinear integral equations. In [Appl. Math. Comput. 170 (2005) 570-583], the author introduced a modification of ADM, namely two step Adomian decomposition method (TSADM) that facilitates the calculations. However, there is a weakness in TSADM which we invistigate in this paper. We propose a new reliable modification of the ADM and apply this new modified method to solve the
more » ... ra and Fredholm integral equations. Some examples are given to illustrate the ability and reliability of this new modified method. The results reveal that our modified method is very simple and effective. MSC: 45B05 • 45D05• 49M27
fatcat:qh5gl62pwnfohcrbeh2odj3xiq
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Hossein Jafari, E Tayyebi, S Sadeghi, C Khalique. "A new modification of the Adomian decomposition method for nonlinear integral equations." Int. J. Adv. Appl. Math. and Mech (2014)