Volume 28, Issue 2, January 2017, Pages 110–114
EMMANUEL IDOWU AKINOLA1, FOLAKE OYEDIGBA AKINPELU2, ADISA OLUWASANJO AREO3, JOHN OLAJIDE AKANNI4, and JANET KIKELOMO OLADEJO5
1 Department of Mathematics and Statistics, Bowen University Iwo, P.M.B. 284, Osun State, Nigeria
2 Department of Pure and Applied Mathematics, Ladoke Akintola University of Technology, P.M.B. 4000, Ogbomoso, Oyo State, Nigeria
3 Department of Mathematics and Statistics, Bowen University Iwo, P.M.B. 284, Osun State, Nigeria
4 Department of Pure and Applied Mathematics, Ladoke Akintola University of Technology, Ogbomoso, P.M.B. 4000, Nigeria
5 Department of Pure and Applied Mathematics, Ladoke Akintola University of Technology, Ogbomoso, P.M.B. 4000, Nigeria
Original language: English
Copyright © 2017 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.
This paper presents a numerical method called Laplace Transform Series Decomposition Method (LTSDM) for solving fifth and sixth order boundary value problems in a finite domain with two point boundary conditions is presented. The method has to do with the combination of Laplace Transform method, series expansion and Adomian polynomial. The numerical results obtained using LTSDM are compared with the exact solutions, Differential Transform and Adomian Decomposition Methods. The results showed that the method is quite accurate, reliable, powerful, efficient, and is practically well suited for use in the problems considered.
Author Keywords: Adomian polynomial, Boundary value problems, Higher-order, Laplace method, Series expansion.
EMMANUEL IDOWU AKINOLA1, FOLAKE OYEDIGBA AKINPELU2, ADISA OLUWASANJO AREO3, JOHN OLAJIDE AKANNI4, and JANET KIKELOMO OLADEJO5
1 Department of Mathematics and Statistics, Bowen University Iwo, P.M.B. 284, Osun State, Nigeria
2 Department of Pure and Applied Mathematics, Ladoke Akintola University of Technology, P.M.B. 4000, Ogbomoso, Oyo State, Nigeria
3 Department of Mathematics and Statistics, Bowen University Iwo, P.M.B. 284, Osun State, Nigeria
4 Department of Pure and Applied Mathematics, Ladoke Akintola University of Technology, Ogbomoso, P.M.B. 4000, Nigeria
5 Department of Pure and Applied Mathematics, Ladoke Akintola University of Technology, Ogbomoso, P.M.B. 4000, Nigeria
Original language: English
Copyright © 2017 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
This paper presents a numerical method called Laplace Transform Series Decomposition Method (LTSDM) for solving fifth and sixth order boundary value problems in a finite domain with two point boundary conditions is presented. The method has to do with the combination of Laplace Transform method, series expansion and Adomian polynomial. The numerical results obtained using LTSDM are compared with the exact solutions, Differential Transform and Adomian Decomposition Methods. The results showed that the method is quite accurate, reliable, powerful, efficient, and is practically well suited for use in the problems considered.
Author Keywords: Adomian polynomial, Boundary value problems, Higher-order, Laplace method, Series expansion.
How to Cite this Article
EMMANUEL IDOWU AKINOLA, FOLAKE OYEDIGBA AKINPELU, ADISA OLUWASANJO AREO, JOHN OLAJIDE AKANNI, and JANET KIKELOMO OLADEJO, “The Mathematical Formulation of Laplace Series Decomposition Method for Solving Nonlinear Higher-Order Boundary Value Problems in Finite Domain,” International Journal of Innovation and Scientific Research, vol. 28, no. 2, pp. 110–114, January 2017.
