Numerical Solutions of a Generalized Nth Order Boundary Value Problems Using Power Series Approximation Method
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Date
2016-07
Journal Title
Journal ISSN
Volume Title
Publisher
Scientific Research Publishing
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.
Description
Keywords
Power Series, Linear and Nonlinear Problems, Boundary Value Problem (BVP), Numerical Simulation