Analytic approximate solutions for some nonlinear Parabolic dynamical wave equations

By Hijaz Ahmad, Aly R. Seadawy, Tufail Ahmad Khan, Phatiphat Thounthong. Journal of Taibah University for Science, 2020

198 citations recorded by the source corpus.

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.

Subfields: Mathematical Physics, Numerical Analysis, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/0e1349d33541a3201a445f6838feb3361b63a536

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In Mathematical Physics

1. Hijaz Ahmad
2. Asif Yokus
3. Hülya Durur

In Numerical Analysis

1. Hijaz Ahmad
2. Hülya Durur
3. Asif Yokus

In Statistical and Nonlinear Physics

1. Asif Yokus
2. Hülya Durur
3. Hijaz Ahmad

Citations in the corpus

• HYPERBOLIC TYPE SOLUTIONS FOR THE COUPLE BOITI-LEON-PEMPINELLI SYSTEM (2020, methodology): “Some of these are a new sub equation method [1], homotopy analysis method [2, 3], homotopy-Pade method [4], homotopy perturbation method [5, 6], (G/G)-expansion method [7, 8], modified variational iteration algorithm-I [9, 10, 11], sub equation method [12], Variational iteration method with an auxil”