TITLE:
Numerical Solutions of a Generalized Nth Order Boundary Value Problems Using Power Series Approximation Method
AUTHORS:
Ignatius N. Njoseh, Ebimene J. Mamadu
KEYWORDS:
Power Series, Linear and Nonlinear Problems, Boundary Value Problem (BVP), Numerical Simulation
JOURNAL NAME:
Applied Mathematics,
Vol.7 No.11,
July
11,
2016
ABSTRACT: In this paper, a new approach called Power
Series Approximation Method (PSAM) is developed for the numerical solution of a
generalized linear and non-linear higher order Boundary Value Problems (BVPs).
The proposed method is efficient and effective on the experimentation on some
selected thirteen-order, twelve-order and ten-order boundary value problems as
compared with the analytic solutions and other existing methods such as the
Homotopy Perturbation Method (HPM) and Variational Iteration Method (VIM)
available in the literature. A convergence analysis of PSAM is also provided.