NUMERICAL STUDY OF NONLINEAR VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS BY ADOMIAN'S METHOD†

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The main purpose of this paper is to consider Adomian's decomposition method in non-linear Volterra integro-differential equations. The advantages of this method, compared with the recent numerical techniques (in particular the implicitly linear collocation methods) , and the convergence of Adomian's method applied to such nonlinear integro-differential equations are discussed. Finally, by using various examples, the accuracy of this method will be shown

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Journal title

volume 9  issue 1

pages  -

publication date 1998-03-01

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