Solution of linear time-varying multi-delay systems via variational iteration method

Volume 16, Issue 2, pp 282-297 http://dx.doi.org/10.22436/jmcs.016.02.16

Publication Date: June 15, 2016 Submission Date: August 16, 2015

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Authors

Seyed Mehdi Mirhosseini-Alizamini - Department of Mathematics, Payame Noor University (PNU), P. O. Box 19395-3697, Tehran, Iran. Sohrab Effati - Center of Excellence on Soft Computing and Intelligent Information Processing (SCIIP), Ferdowsi University of Mashhad, Iran. Aghileh Heydari - Department of Mathematics, Payame Noor University (PNU), P. O. Box 19395-3697, Tehran, Iran.

Abstract

This work presents an approximate solution method for the linear time-varying multi-delay systems and time delay logistic equation using variational iteration method. The method is based on the use of Lagrange multiplier for identification of optimal value of a parameter in a functional. This procedure is a powerful tool for solving large amount of problems. Also, it provides a sequence which converges to the solution of the problem without discretization of the variables. In this study, an idea is proposed that accelerates the convergence of the sequence which results from the variational iteration formula for solving systems of delay differential equations. Illustrative examples are included to demonstrate the validity and applicability of the technique.

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Keywords

• Delay system
• time varying
• logistic equation
• variational iteration method.

MSC

•  93C05
•  30C70

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