Comparison of Approximate Methods for Solving Delay Differential Equations with Initial value problems

Hamood. M. Yousef, S. Alzaeemi
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引用次数: 0

Abstract

This paper aims to study two approximate analytical methods for solving linear and nonlinear delay differential equations. Approximate approaches are shown in the Variational iteration method and the Adomian decomposition method. Through the conversion of some instances, including linear and nonlinear delay differential equations with initial values, by comparing different approximate methods. The results show that this procedure is accurate and adequate for DDE. Comparisons between the Adomian Decomposition Method and Variational Iteration Method results demonstrate the accuracy of the results obtained from both mentioned methods. The variational iteration method is efficient and convenient based on comparing the results and exact solutions.
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求解具有初值问题的时滞微分方程的近似方法比较
本文研究求解线性和非线性时滞微分方程的两种近似解析方法。变分迭代法和Adomian分解法给出了近似方法。通过转换一些实例,包括线性和非线性时滞微分方程的初值,通过比较不同的近似方法。结果表明,该程序是准确的,适合DDE。将Adomian分解法与变分迭代法的计算结果进行比较,验证了两种方法计算结果的准确性。变分迭代法具有计算结果与精确解比较的优点。
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来源期刊
Songklanakarin Journal of Science and Technology
Songklanakarin Journal of Science and Technology Multidisciplinary-Multidisciplinary
CiteScore
1.10
自引率
0.00%
发文量
0
审稿时长
25 weeks
期刊介绍: Songklanakarin Journal of Science and Technology (SJST) aims to provide an interdisciplinary platform for the dissemination of current knowledge and advances in science and technology. Areas covered include Agricultural and Biological Sciences, Biotechnology and Agro-Industry, Chemistry and Pharmaceutical Sciences, Engineering and Industrial Research, Environmental and Natural Resources, and Physical Sciences and Mathematics. Songklanakarin Journal of Science and Technology publishes original research work, either as full length articles or as short communications, technical articles, and review articles.
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