Solution of linear time-varying multi-delay systems via variational iteration method
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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.
Share and Cite
ISRP Style
Seyed Mehdi Mirhosseini-Alizamini, Sohrab Effati, Aghileh Heydari, Solution of linear time-varying multi-delay systems via variational iteration method, Journal of Mathematics and Computer Science, 16 (2016), no. 2, 282-297
AMA Style
Mirhosseini-Alizamini Seyed Mehdi, Effati Sohrab, Heydari Aghileh, Solution of linear time-varying multi-delay systems via variational iteration method. J Math Comput SCI-JM. (2016); 16(2):282-297
Chicago/Turabian Style
Mirhosseini-Alizamini, Seyed Mehdi, Effati, Sohrab, Heydari, Aghileh. "Solution of linear time-varying multi-delay systems via variational iteration method." Journal of Mathematics and Computer Science, 16, no. 2 (2016): 282-297
Keywords
- Delay system
- time varying
- logistic equation
- variational iteration method.
MSC
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