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New approximate analytical solutions of the Falkner-Skan equation. (English) Zbl 1251.65149

Summary: We propose an iterative method for solving the Falkner-Skan equation. The method provides approximate analytical solutions which consist of coefficients of the previous iterate solution. By some examples, we show that the presented method with a small number of iterations is competitive with the existing method such as Adomian decomposition method. Furthermore, to improve the accuracy of the proposed method, we suggest an efficient correction method. In practice, for some examples one can observe that the correction method results in highly improved approximate solutions.

MSC:

65M99 Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems
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