Mamadu, J.E. and Njoseh, I.N. (2016) Numerical Solutions of Volterra Equations Using Galerkin Method with Certain Orthogonal Polynomials. Journal of Applied Mathematics and Physics, 4, 376-382.
http://dx.doi.org/10.4236/jamp.2016.42044

has been cited by the following article:

• 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.