Semi-analytical solution for some proportional delay differential equations

被引：0
|
作者：
Mourad Chamekh
Tarig M. Elzaki
Nabiha Brik
机构：
[1] University of Jeddah,College of Sciences and Arts, AlKamel
[2] University of Tunis El Manar,National Engineering School at Tunis, LAMSIN
来源：
SN Applied Sciences | 2019年 / 1卷
关键词：
DDEs; Proportional delay; Differential transformation method; Multiple time delays;
D O I：
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摘要：
In this work, we have developed a semi-analytical method, based on the combination of the differential transform method and the Laplace transform, to solve a class of linear and nonlinear differential equations with a proportional delay. In order to provide sufficient precision to meet computational needs, we have resumed some proofs of differential transform properties. Some illustrative and physical examples presented and compared to analytical solutions show promising results regarding the validity and applicability of this approach.
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