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

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...

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Veröffentlicht in:Mathematics and computers in simulation Jg. 177; S. 13 - 23
Hauptverfasser: Ahmad, Hijaz, Seadawy, Aly R., Khan, Tufail A.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Elsevier B.V 01.11.2020
Schlagworte:
Combined KdV–mKdV equation
Korteweg–de Vries equation
Modified Korteweg–de Vries equation
Variational iteration algorithm-II
Variational iteration algorithm-II
Modified Korteweg–de Vries equation
Combined KdV–mKdV equation
Korteweg–de Vries equation
ISSN:0378-4754, 1872-7166
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Zusammenfassung: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.
ISSN:0378-4754
1872-7166
DOI:10.1016/j.matcom.2020.04.005