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Journal of Taibah University for Science
Article . 2020 . Peer-reviewed
License: CC BY
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Journal of Taibah University for Science
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Analytic approximate solutions for some nonlinear Parabolic dynamical wave equations

Authors: Hijaz Ahmad; Aly R. Seadawy; Tufail A. Khan; Phatiphat Thounthong;

Analytic approximate solutions for some nonlinear Parabolic dynamical wave equations

Abstract

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.

Keywords

mvia-i, Q1-390, Science (General), allen-cahn equation, modified variational iteration algorithm-ii, fisher equations, newell–whitehead equation

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
182
Top 1%
Top 1%
Top 0.1%
gold