EXACT AND APPROXIMATE SOLUTIONS OF BOUSSINESQ EQUATION: A COMPARISON STUDY | Zendy

Abdelkader Kehaili | Zendy; Abdelkader Benali | Zendy; Ali Hakem | Zendy

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EXACT 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.

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