The Comparative Boubaker Polynomials Expansion Scheme (BPES) and Homotopy Perturbation Method (HPM) for solving a standard nonlinear second-order boundary value problem


KOÇAK H. , YILDIRIM A. , ZHANG D. H. , MOHYUD-DIN S. T.

MATHEMATICAL AND COMPUTER MODELLING, cilt.54, ss.417-422, 2011 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 54
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1016/j.mcm.2011.02.031
  • Dergi Adı: MATHEMATICAL AND COMPUTER MODELLING
  • Sayfa Sayıları: ss.417-422

Özet

In this paper, we propose an analytical solution to a nonlinear second-order boundary value problem using the Homotopy Perturbation Method (HPM) and the 4q-Boubaker Polynomials Expansion Scheme (BPES). Both methods have been applied to a particular differential problem. The results are plotted, and compared with exact solutions proposed elsewhere, in order to evaluate accuracy. (C) 2011 Elsevier Ltd. All rights reserved.