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Comparison of the Adomian decomposition method and the variational iteration method in solving the moving boundary problem

机译:Adomian分解法与变分迭代法在解决运动边界问题中的比较

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摘要

In this paper, a comparison between two methods: the Adomian decomposition method and the variational iteration method, used for solving the moving boundary problem, is presented. Both of the methods consist in constructing the appropriate iterative or recurrence formulas, on the basis of the equation considered and additional conditions, enabling one to determine the successive elements of a series or sequence approximating the function sought. The precision and speed of convergence of the procedures compared are verified with an example.
机译:本文介绍了两种用于解决运动边界问题的方法:Adomian分解方法和变分迭代方法。两种方法都包括在考虑的方程式和附加条件的基础上构造适当的迭代或递归公式,使人们能够确定近似所求函数的序列或序列的连续元素。通过实例验证了比较过程的准确性和收敛速度。

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