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**Modified variational iteration method for free-convective boundary-layer equation using Padé approximation.**
*(English)*
Zbl 1191.76080

Summary: This paper is devoted to the study of a free-convective boundary-layer flow modeled by a system of nonlinear ordinary differential equations. We apply a modified variational iteration method (MVIM) coupled with He’s polynomials and Padé approximation to solve free-convective boundary-layer equation. It is observed that the combination of MVIM and the Padé approximation improves the accuracy and enlarges the convergence domain.

### MSC:

76M25 | Other numerical methods (fluid mechanics) (MSC2010) |

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\textit{S. T. Mohyud-Din} et al., Math. Probl. Eng. 2010, Article ID 318298, 11 p. (2010; Zbl 1191.76080)

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