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A Successive Linearization Method Approach to Solve Lane-EmdenType of Equations

机译:求解车道Emden类型方程的连续线性化方法

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We propose a new application of the successive linearization method for solving singular initial and boundary value problems of Lane-Emden type. To demonstrate the reliability of the proposed method, a comparison is made with results from existing methods in the literature and with exact analytical solutions. It was found that the method is easy to implement, yields accurate results, and performs better than some numerical methods.
机译:我们提出了连续线性化方法在解决Lane-Emden型奇异初值和边值问题中的新应用。为了证明所提出方法的可靠性,将其与文献中现有方法的结果以及精确的分析解决方案进行了比较。发现该方法易于实现,产生准确的结果,并且比某些数值方法表现更好。

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