Study on numerical solution of dispersive water wave phenomena by using a reliable modification of variational iteration algorithm

Hijaz Ahmad, Aly R. Seadawy and Tufail A. Khan

Mathematics and Computers in Simulation (MATCOM), 2020, vol. 177, issue C, 13-23

Abstract: In this paper, we propose an incredible modification of variational iteration algorithm-II that will accelerate the fast convergence of the series solution. We utilize the proposed algorithm on KdV, mKdV and combined KdV–mKdV equations to illustrate its accuracy and reliability. The consequences of modified variational iteration algorithm-II (MVIA-II) show that the proposed technique minimizes the size of calculations, converges rapidly, computationally efficient and yields accurate results. This modification demonstrated the high efficiency and attained very good agreement in illustrated models and might be promptly reached out to other nonlinear PDEs.

Keywords: Korteweg–de Vries equation; Modified Korteweg–de Vries equation; Combined KdV–mKdV equation; Variational iteration algorithm-II (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (4)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378475420301178
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:177:y:2020:i:c:p:13-23

DOI: 10.1016/j.matcom.2020.04.005

Access Statistics for this article

Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens

More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier
Bibliographic data for series maintained by Catherine Liu ().