将改进的变分迭代法作为不动点迭代法求解时间分数阶化工方程

IF 1 Q4 CHEMISTRY, MULTIDISCIPLINARY Iranian journal of mathematical chemistry Pub Date : 2017-12-01 DOI:10.22052/IJMC.2017.29095.1109
A. HaghBin, H. Jafari
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引用次数: 3

摘要

将变分迭代法(VIM)推广到求分数阶化工方程的近似解。没有明确地确定VIM的拉格朗日乘数。本文利用不动点迭代法的概念,对VIM进行了改进。然后将该方法应用于求解时间分数阶化工方程组。将所得近似解与文献数值结果进行比较,证明了该方法的适用性、有效性和准确性。
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Solving time-fractional chemical engineering equations by modified variational iteration method as fixed point iteration method
The variational iteration method(VIM) was extended to find approximate solutions of fractional chemical engineering equations. The Lagrange multipliers of the VIM were not identified explicitly. In this paper we improve the VIM by using concept of fixed point iteration method. Then this method was implemented for solving system of the time fractional chemical engineering equations. The obtained approximate solutions are compared with the numerical results in the literature to show the applicability, efficiency and accuracy of the method.
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来源期刊
Iranian journal of mathematical chemistry
Iranian journal of mathematical chemistry CHEMISTRY, MULTIDISCIPLINARY-
CiteScore
2.10
自引率
7.70%
发文量
0
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