APPLICATION OF THE VARIATIONAL ITERATION METHOD AND PERTURBATION METHOD FOR THE FOAM DRAINAGE EQUATION

Authors

  • Mohamed M. Alargat Mathematics Department, Science Faculty, Al-Asmarya University, Zliten, Libya
  • Najla J. Alawis Mathematics Department, Science Faculty, Al-Asmarya University, Zliten, Libya
  • Mariam R. Abusetta Mathematics Department, Science Faculty, Al-Asmarya University, Zliten, Libya

DOI:

https://doi.org/10.59743/jbs.v34i1.8

Keywords:

He's Variational Iteration Method, Perturbation method Foam Drainage Equation, Numerical solution

Abstract

We extend he's Variational Iteration Method and Perturbation method, applied to some systems of nonlinear (PDEs). In this paper, we consider Foam Drainage Equation (FDE) are a prime example of a multiphase "soft condensed matter". We find both exact and approximate solutions, we compared the numerical solutions with corresponding analytical solution.

References

Yasser R , Davood D., Iman R., and Mehdi K., analytical investigation of nonlinear model arising in heat transfer through the porous fin, Iran, Vol. 18, No.2 pp.409-417, (2012).

Zoubir D. , Mohammed M.M. , Rachid B.,The Foam Drainage Equation with Time- and Space-Fractional Derivatives Solved by The Adomian Method, Electronic Journal of Qualitative Theory of Differential Equations, No. 30,pp.1-10, (2008).

M. A. Abdou, A. A. Soliman, Variational iteration method for Solving Burgers and Coupled Burger's equation, J. Comput. Appl. Math. 181 (2), pp.245-251, (2005).

N. Bildik, A. Konuraly, The use of Variational iteration method and Adomian decomposition method for solving different types of nonlinear partial differential equations, Int. J. Nonlinear Sci. Numey. Simul. 7(1) , pp.65-70, (2006).

E. Salephpoor, H. Jafari, J. Abbasian A Frapoli, Revised Variational iteration method for solving systems of ordinary Differential Equations, Appl. Appl. Math, pp.110-121, (2010).

http://www.ucl.ac.uk/~ucahhwi/LTCC/section2-3-perturb-regular.pdf.

A. Nikkar and M. Mighani, An Analytical Method to Analysis of Foam Drainage Problem, International Journal of Mathematical Sciences 7(1), (2013) .

M.A.Helal, M.S.Mehanna, The tanh method and adomian decomposition method for solving the foam drainage equation, Applied Mathematics and Computation, 190,pp.599-609, (2007).

G. Verbist, D. Weuire, Europhys. Lett. 26,pp.631-634, (1994).

S.D.stoyanov,V.N.paunov, E.S.Basheva,I.B.Ivanov, A.Mehreteab, G.Broze, Motion of the front betweeal thick and thin film : hydrodynamic theory and experiment with vertical foam films, Langmuir 13(1997)1400-1407.

Downloads

Published

2021-06-30

Issue

Vol. 34 No. 1 (2021)

Section

Article

License

Copyright (c) 2021 Journal of Basic Sciences

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

APPLICATION OF THE VARIATIONAL ITERATION METHOD AND PERTURBATION METHOD FOR THE FOAM DRAINAGE EQUATION (M. M. Alargat, N. J. Alawis, & M. R. Abusetta , Trans.). (2021). Journal of Basic Sciences, 34(1), 26-37. https://doi.org/10.59743/jbs.v34i1.8

Similar Articles

1-10 of 54

You may also start an advanced similarity search for this article.

Most read articles by the same author(s)