Solution Of Integral Equations Of Volterra Type Using The Adomian Decomposition Method (ADM)

Abstract

Fadugba Sunday Emmanuel

This paper presents an alternative semi-analytical method for the solution of the Volterra integral equations.
The solution of the Volterra integral equations has been decomposed into an infinite series of components
via the Adomian decomposition method (ADM). Furthermore, four illustrative examples were solved to
measure the performance of ADM in terms of suitability, convergence and accuracy. Moreover, the results
obtained via ADM were compared with the exact solution. Hence, ADM is found to be a good tool for the
solution of Volterra integral equations and also minimizes the volume of calculations.

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