Author(s)

Ignatius N. Njoseh¹, Ebimene J. Mamadu²

¹Department of Mathematics and Computer Science, Delta State University, Abraka, Nigeria.
²Department of Mathematics, University of Ilorin, Ilorin, Nigeria.

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.

Power Series, Linear and Nonlinear Problems, Boundary Value Problem (BVP), Numerical Simulation

Njoseh, I. and Mamadu, E. (2016) Numerical Solutions of a Generalized Nth Order Boundary Value Problems Using Power Series Approximation Method. Applied Mathematics, 7, 1215-1224. doi: 10.4236/am.2016.711107.