交替变分迭代法在求解时滞微分方程中的应用

Ahmad A. H. Mtawal, S. A. E. Muhammed, Ayiman A. Almabrok
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引用次数: 6

摘要

提出了一种求解线性和非线性时滞微分方程的变分迭代法。一般拉格朗日乘子用于构造修正泛函。发现所提出的级数解能迅速收敛到精确解。通过对三个DDEs测试实例的计算,验证了AVIM的有效性和有效性。实验结果表明,该方法简单、高效。关键词:交替变分迭代法,拉格朗日乘法器,延迟微分方程。
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Application of the alternative variational iteration method to solve delay differential equations
In this paper, alternative variational iteration method (AVIM) is presented to solve linear and nonlinear delay differential equations (DDEs). A general lagrange multiplier is used to construct a correction functional. The proposed series solutions are found to converge to exact solution rapidly. The computation of three test examples of DDEs was presented to confirm the efficacy and validity of AVIM. The results obtained show that the AVIM is very simple and efficient. Key words: Alternative variational iteration method (AVIM), Lagrange multiplier, Delay differential equations (DDEs).
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来源期刊
International Journal of Physical Sciences
International Journal of Physical Sciences 综合性期刊-综合性期刊
自引率
0.00%
发文量
4
审稿时长
24 months
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