EXACT AND APPROXIMATE SOLUTIONS OF BOUSSINESQ EQUATION: A COMPARISON STUDY

被引：0
|
作者：
Kehaili, Abdelkader [1 ]
Benali, Abdelkader [2 ]
Hakem, Ali [1 ]
机构：
[1] DjillaliLiabes Univ, Lab ACEDP, Sidi Bel Abbes 22000, Algeria
[2] Univ HassibaBenbouali, Fac Exact Sci & Comp, Math Dept, Chlef 02000, Algeria
来源：
JOURNAL OF SCIENCE AND ARTS | 2022年 / 04期
关键词：
Boussinesq's equation; Laplace transform; new transforms iterative method; Tanh method;
D O I：
暂无
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, a technique called Tanh method is applied to obtain some traveling wave solutions for Boussinesq's equation, and by using new transform iterative method (NTIM) which is a combination of the new iterative method (NIM) and Laplace transform, we obtain an approximate solution to Boussinesq's equation. A comparison between the traveling wave solution (exact solution) and the approximate one of equation under study, indicate that new transform iterative method (NTIM) is highly accurate and can be considered a very useful and valuable method.
引用
收藏
页码：991 / 1002
页数：12
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