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

H Koçak,A Yıldırım,D.H Zhang,S.T Mohyud-Din

doi:10.1016/j.mcm.2011.02.031

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

H Koçak, A Yıldırım + Show 2 more

https://doi.org/10.1016/j.mcm.2011.02.031

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Journal: Mathematical Modelling	Publication Date: Feb 27, 2011
Citations: 18	License type: elsevier-specific: oa user license

Affiliation: Ege University, University of South China, HITEC University

#Nonlinear Second-order Boundary Value Problem #Boubaker Polynomials Expansion Scheme + Show 8 more

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Abstract

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.

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