Improved high order Euler method for numerical solution of initial value time-lag differential equations

The goal of this paper is to expose a new numerical method for solving initial value time-lag of delay differential equations by employing a high order improving formula of Euler method known as third order Euler method. Stability condition is discussed in detail for the proposed technique. Finally...

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Bibliographic Details
Published inIraqi journal of science Vol. 59; no. 1B; pp. 383 - 388
Main Authors Ali, Hayat Adil, Hasan, Siba Sattar
Format Journal Article
LanguageArabic
English
Published Baghdad, Iraq University of Baghdad, College of Science 2018
Subjects
أرقام أويلر
التحليل العددي
الرياضيات
المعادلات التفاضلية
مشاكل القيمة الأولية
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Summary:The goal of this paper is to expose a new numerical method for solving initial value time-lag of delay differential equations by employing a high order improving formula of Euler method known as third order Euler method. Stability condition is discussed in detail for the proposed technique. Finally some examples are illustrated to verify the validity, efficiency and accuracy of the method.
ISSN:0067-2904
2312-1637
DOI:10.24996/IJS.2018.59.1B.17