Open AccessEXACT AND APPROXIMATE SOLUTIONS OF BOUSSINESQ EQUATION: A COMPARISON STUDY
Author(s) -
Abdelkader Kehaili,
Abdelkader Benali,
Ali Hakem
Publication year - 2021
Publication title -
journal of science and arts
Language(s) - English
Resource type - Journals
eISSN - 2068-3049
pISSN - 1844-9581
DOI - 10.46939/j.sci.arts-21.4-a10
Subject(s) - laplace transform , iterative method , mathematics , traveling wave , mathematical analysis , exact solutions in general relativity , mathematical optimization
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.