Volume 18, Issue 1, October 2016, Pages 262–267
EMMANUEL IDOWU AKINOLA1, ISAAC ADESOLA OLOPADE2, FOLAKE OYEDIGBA AKINPELU3, ADISA OLUWASANJO AREO4, and ADEPEJU ABIMBOLA OYEWUMI5
1 Department of Mathematics and Statistics, Bowen University Iwo, P.M.B. 284, Osun State, Nigeria
2 Department of Mathematics and Computer Science, P.M.B. 002, Elizade University, Ilara-Mokin, Ondo State, Nigeria
3 Department of Pure and Applied Mathematics, Ladoke Akintola University of Technology, P.M.B. 4000, Ogbomoso, Oyo State, Nigeria
4 Department of Mathematics and Statistics, Bowen University Iwo, P.M.B. 284, Osun State, Nigeria
5 Department of Pure and Applied Mathematics, Ladoke Akintola University of Technology, P.M.B. 4000, Ogbomoso, Oyo State, Nigeria
Original language: English
Copyright © 2016 ISSR Journals. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.
Author Keywords: Adomianl Decomposition, Volterra Integro-Differential equation, Series expansion, Sumudu Transform.
EMMANUEL IDOWU AKINOLA1, ISAAC ADESOLA OLOPADE2, FOLAKE OYEDIGBA AKINPELU3, ADISA OLUWASANJO AREO4, and ADEPEJU ABIMBOLA OYEWUMI5
1 Department of Mathematics and Statistics, Bowen University Iwo, P.M.B. 284, Osun State, Nigeria
2 Department of Mathematics and Computer Science, P.M.B. 002, Elizade University, Ilara-Mokin, Ondo State, Nigeria
3 Department of Pure and Applied Mathematics, Ladoke Akintola University of Technology, P.M.B. 4000, Ogbomoso, Oyo State, Nigeria
4 Department of Mathematics and Statistics, Bowen University Iwo, P.M.B. 284, Osun State, Nigeria
5 Department of Pure and Applied Mathematics, Ladoke Akintola University of Technology, P.M.B. 4000, Ogbomoso, Oyo State, Nigeria
Original language: English
Copyright © 2016 ISSR Journals. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
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.
Author Keywords: Adomianl Decomposition, Volterra Integro-Differential equation, Series expansion, Sumudu Transform.
How to Cite this Article
EMMANUEL IDOWU AKINOLA, ISAAC ADESOLA OLOPADE, FOLAKE OYEDIGBA AKINPELU, ADISA OLUWASANJO AREO, and ADEPEJU ABIMBOLA OYEWUMI, “Sumudu Transform Series Decomposition Method for Solving Nonlinear Volterra Integro-Differential Equations,” International Journal of Innovation and Applied Studies, vol. 18, no. 1, pp. 262–267, October 2016.
