(International Journal of Innovation and Applied Studies, 2016-10) Akinola, E.I.; Olopade, I.A.; Akinpelu, F.O.; Areo, A.O.; Oyewumi, A.A.
In this paper, Sumudu Transform Series Decomposition Method (STSDM) for solving Integro-Differential Equation
is presented. The method is an elegant combination of Sumudu Transform method, series expansion and Adomian
polynomial. Three numerical problems were solved and compared with the exact solutions and the results by other
approximate methods in order to check the effectiveness, reliability, accuracy, and the convergence of the method. The
results obtained by STSDM showed that it is a powerful mathematical technique for solving wide range of physical problems
arising in science and engineering fields.