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 inJournal 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
LanguageEnglish
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
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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