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The comparative Boubaker polynomials expansion scheme (BPES) and homotopy perturbation method (HPM) for solving a standard nonlinear second-order boundary value problem. (English) Zbl 1225.65080
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.
65L99Numerical methods for ODE
34E10Perturbations, asymptotics (ODE)
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