Solitary wave solutions for forced nonlinear korteweg-de vries equation by using approximate analytical method

Che Haziqah Che Hussin and Arif Mandangan and Amirah Azmi and Adem Kilicman (2022) Solitary wave solutions for forced nonlinear korteweg-de vries equation by using approximate analytical method. Journal of advanced research in fluid mechanics and thermal sciences, 99. pp. 197-206. ISSN 2289-7879

	Text ABSTRACT.pdf Download (55kB)
	Text FULLTEXT.pdf Restricted to Registered users only Download (619kB) \| Request a copy

URL: https://semarakilmu.com.my/journals/index.php/flui...

Abstract

The Multistep Modified Reduced Differential Transform Method (MMRDTM) is proposed in this paper. It is implemented to solve the forced nonlinear Korteweg-de Vries (fnKdV) equations. There are several advantages of the proposed method. Using the suggested approach, a high-speed converging series can be approximated analytically. Furthermore, the number of calculated terms is reduced significantly. The nonlinear term in fnKdV equations is substituted with corresponding Adomian polynomials before applying the multi-step technique. As a result, we provided simpler and more effective ways to solve fnKdV equations. On top of that, the solutions can be approximated more accurately over a longer period of time. To show the MMRDTM's capability and accuracy, we consider several of the fnKdV examples to illustrate the proposed method’s potential in analytical approximation. Then, the features of the solutions are represented in tabular and graphical forms. In conclusion, the proposed method delivers highly accurate and precise solutions for these types of equations.

Item Type:	Article
Keyword:	Adomian polynomials , Multistep approach , Modified reduced differential transform method , forced NKdV equations , shallow water waves , Tsunami
Subjects:	Q Science > QA Mathematics > QA1-939 Mathematics > QA299.6-433 Analysis
Department:	CENTRE > Preparation Centre for Science and Technology
Depositing User:	DG MASNIAH AHMAD -
Date Deposited:	13 Feb 2023 15:04
Last Modified:	13 Feb 2023 15:04
URI:	https://eprints.ums.edu.my/id/eprint/35081

Actions (login required)

View Item