A semi-analytical solution of foam drainage equation by Haar wavelets method

被引：15

作者：

Arbabi, Somayeh ^{[1
]}

Nazari, Akbar ^{[1
]}

Darvishi, Mohammad Taghi ^{[2
]}

机构：

[1] Shahid Bahonar Univ, Dept Math, Kerman, Iran

[2] Razi Univ, Dept Math, Kermanshah, Iran

来源：

OPTIK | 2016年 / 127卷 / 13期

关键词：

Haar wavelets; Foam drainage equation; Adomian decomposition method; Homotopy perturbation method; Laplace decomposition method; NUMERICAL-SIMULATION;

D O I：

10.1016/j.ijleo.2016.03.032

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

In this paper, Haar wavelets method (HWM) is applied to compute the numerical solutions of the foam drainage equation. The mathematical base of the method is presented. First, the time derivative is discretized by a forward difference scheme and then a quasilinearization technique is used to linearize the foam drainage equation. Finally, we solve a system of linear equations which is obtained by applying the Haar wavelet method for discretizing the space derivatives. Obtained results by HWM are very similar to the exact solutions. Further, a comparison between our results and results which are obtained by HPM, HPTM, LDM and ADM is presented. Numerical results show that our method works better than the other methods. (C) 2016 Elsevier GmbH. All rights reserved.

引用

页码：5443 / 5447

页数：5

共 28 条

[1]

[Anonymous], 1997, Cellular solid structure and properties

[2]

[Anonymous], ADV STUD THEOR PHYS

[3]

Ashby MF., 2000, METAL FOAMS DESIGN G

[4] A new method based on Haar wavelet for the numerical solution of two-dimensional nonlinear integral equations [J].