Analytic approximate solutions for some nonlinear Parabolic dynamical wave equations

In this paper, modified variational iteration algorithm-II is investigated for finding approximate solutions of nonlinear Parabolic equations. Comparisons of the MVIA-II with trigonometric B-spline collocation method, variational iteration method, homotopy perturbation transform method, Adomian deco...

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Bibliographic Details
Published in:	Journal of Taibah University for Science Vol. 14; no. 1; pp. 346 - 358
Main Authors:	Ahmad, Hijaz, Seadawy, Aly R., Khan, Tufail A., Thounthong, Phatiphat
Format:	Journal Article
Language:	English
Published:	Taylor & Francis 01-01-2020 Taylor & Francis Group
Subjects:	Allen-Cahn equation Fisher equations Modified variational iteration algorithm-II MVIA-I Newell-Whitehead equation
Online Access:	Get full text
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Summary:	In this paper, modified variational iteration algorithm-II is investigated for finding approximate solutions of nonlinear Parabolic equations. Comparisons of the MVIA-II with trigonometric B-spline collocation method, variational iteration method, homotopy perturbation transform method, Adomian decomposition method, and modified variational iteration method are carried out, which show that the proposed algorithm (MVIA-II) is robust one. Some nonlinear Parabolic equations are given to demonstrate the implementation and accuracy of the MVIA-II.
ISSN:	1658-3655 1658-3655
DOI:	10.1080/16583655.2020.1741943