The numerical simulation for stiff systems of ordinary differential equations
The numerical simulation for stiff systems of ordinary differential equations
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DOI：
10.1016/j.camwa.2006.12.072
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发表时间：
2007-10
期刊：
影响因子：
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通讯作者：
M. Darvishi;F. Khani;A. Soliman
中科院分区：
文献类型：
--
作者：
M. Darvishi;F. Khani;A. Soliman
本文将变分迭代法应用于求解线性和非线性常微分方程组，重点关注刚性问题。通过算例说明了该方法的准确性和有效性。我们比较我们的结果与Adomian分解方法得到的结果。这一比较表明，变分迭代法更容易实现。事实上，变分迭代法是求解各种线性和非线性方程组的一种很有前途的方法。
In this paper, the variational iteration method is applied to solve systems of ordinary differential equations in both linear and nonlinear cases, focusing interest on stiff problems. Some examples are given to illustrate the accuracy and effectiveness of the method. We compare our results with results obtained by the Adomian decomposition method. This comparison reveals that the variational iteration method is easier to be implemented. In fact, the variational iteration method is a promising method to various systems of linear and nonlinear equations.