4.4 Article

Analytic approximate solutions for some nonlinear Parabolic dynamical wave equations

Journal

JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE
Volume 14, Issue 1, Pages 346-358

Publisher

TAYLOR & FRANCIS LTD
DOI: 10.1080/16583655.2020.1741943

Keywords

Modified variational iteration algorithm-II; Newell-Whitehead equation; Fisher equations; Allen-Cahn equation; MVIA-I

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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.

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