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New Approximate Analytical Solutions of the Falkner-Skan Equation

机译:Falkner-Skan方程的新近似解析解

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摘要

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.
机译:我们提出了一种求解Falkner-Skan方程的迭代方法。该方法提供了近似解析解,该解析解由先前迭代解的系数组成。通过一些示例,我们表明,所提出的迭代次数很少的方法与现有方法(如Adomian分解方法)相比具有竞争力。此外,为了提高所提出方法的准确性,我们提出了一种有效的校正方法。在实践中,对于某些示例,可以观察到该校正方法导致高度改进的近似解。

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