Homotopy Perturbation with Laplace Transforms Method for Solving Singular Initial Value Problems
1 Department of Mathematical Sciences, Faculty of Basic and Applied Sciences, College of Science, Engineering and Technology, Osun State University, Osogbo, Nigeria
2 Department of Mathematical Sciences Faculty of Basic and Applied Sciences College of Science, Engineering and Technology, Osun State University, Osogbo, Nigeria
* Corresponding author: olayiwola.oyedunsi@uniosun.edu.ng
2 Department of Mathematical Sciences Faculty of Basic and Applied Sciences College of Science, Engineering and Technology, Osun State University, Osogbo, Nigeria
* Corresponding author: olayiwola.oyedunsi@uniosun.edu.ng
Abstract
In this paper, the Homotopy Perturbation Method with Laplace
Transform (LT-HPM) is employed in solving the Lane-Emden
type of differential equations. Application is on linear and
nonlinear Lane-Emden singular initial value problems. Com
parison with exact solution shows considerable acceleration
in convergence.
The method is effective and easy to im
plement.
The results are also presented in tabular form
Keywords
Lane-Emden
Homotopy Perturbation Method
Laplace Transform
Singular Initial Value Problem
How to Cite
Olayiwola, M. O., & Adegoke, A. (2019). Homotopy Perturbation with Laplace Transforms Method for Solving Singular Initial Value Problems. Nigerian Journal of Mathematics and Applications, 28(1), 65−76.
M. O. Olayiwola, and A. Adegoke, "Homotopy Perturbation with Laplace Transforms Method for Solving Singular Initial Value Problems," Nigerian Journal of Mathematics and Applications, vol. 28, no. 1, pp. 65−76, April 2019.
