Application of the alternative variational iteration method to solve delay differential equations
Author(s) -
Anees Ahmad,
A. E. Muhammed Saif,
A. Almabrok Ayiman
Publication year - 2020
Publication title -
international journal of the physical sciences
Language(s) - English
Resource type - Journals
ISSN - 1992-1950
DOI - 10.5897/ijps2020.4879
Subject(s) - mathematics , differential (mechanical device) , delay differential equation , differential equation , mathematical optimization , mathematical analysis , control theory (sociology) , computer science , physics , thermodynamics , control (management) , artificial intelligence
In this paper, alternative variational iteration method (AVIM) is presented to solve linear and nonlinear delay differential equations (DDEs). A general lagrange multiplier is used to construct a correction functional. The proposed series solutions are found to converge to exact solution rapidly. The computation of three test examples of DDEs was presented to confirm the efficacy and validity of AVIM. The results obtained show that the AVIM is very simple and efficient. Key words: Alternative variational iteration method (AVIM), Lagrange multiplier, Delay differential equations (DDEs).
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