International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2510

Full Length Research Paper

Application of the alternative variational iteration method to solve delay differential equations

Ahmad A. H. Mtawal
  • Ahmad A. H. Mtawal
  • Department of Mathematics, Faculty of Education Almarj, Benghazi University, Almarj, Libya
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Saif A. E. Muhammed
  • Saif A. E. Muhammed
  • Department of Mathematics, Faculty of Science, Omar Al-Mukhtar University, El- Beida, Libya.
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Ayiman A. Almabrok
  • Ayiman A. Almabrok
  • Department of Mathematics, Faculty of Education Almarj, Benghazi University, Almarj, Libya
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  •  Received: 22 March 2020
  •  Accepted: 14 July 2020
  •  Published: 31 July 2020

Abstract

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).