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Zbl 1225.65080
Koçak, H.; Y ild ir im, A.; Zhang, D.H.; Mohyud-Din, S.T.
The comparative Boubaker polynomials expansion scheme (BPES) and homotopy perturbation method (HPM) for solving a standard nonlinear second-order boundary value problem. (English)
[J] Math. Comput. Modelling 54, No. 1-2, 417-422 (2011). ISSN 0895-7177

Summary: 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 are applied to a particular differential problem. The results are plotted, and compared with exact solutions proposed elsewhere, in order to evaluate accuracy.

MSC 2000:: *65L99 Numerical methods for ODE
34E10 Asymptotic perturbations (ODE)

Keywords: analytical solution; boundary value problem; homotopy perturbation method (HPM); 4q-Boubaker polynomials expansion scheme (BPES)

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Zentralblatt MATH Berlin [Germany]