Citation
Abstract
The study of solitons and compactons is important in nonlinear physics. In this paper we combined the Adomian polynomials with the multi-step approach to present a new technique called Multi-step Modified Reduced Differential Transform Method (MMRDTM). The proposed technique has the advantage of producing an analytical approximation in a fast converging sequence with a reduced number of calculated terms. The MMRDTM is presented with some modification of the Reduced Differential Transformation Method (RDTM) with multi-step approach and its nonlinear term is replaced by the Adomian polynomials. Therefore, the nonlinear initial value problem can easily be solved with less computational effort. Besides that, the multi-step approach produces a solution in fast converging series that converges the solution in a wide time area. Two examples are provided to demonstrate the capability and benefits of the proposed method for approximating the solution of NKdVEs with compactons. Graphical inputs are used to represent the solution and to demonstrate the precision and validity of the MMRDTM in graphic illustration. From the results, it was found that it is possible to obtain highly accurate results or exact solutions by using the MMRDTM.
Download File
Full text not available from this repository.
Official URL or Download Paper: https://semarakilmu.com.my/journals/index.php/flui...
|
Additional Metadata
Item Type: | Article |
---|---|
Divisions: | Institute for Mathematical Research |
DOI Number: | https://doi.org/10.37934/arfmts.88.1.2434 |
Publisher: | Semarak Ilmu Publishing |
Keywords: | Adomian polynomials; Multistep approach; Modified reduced differential transform method; Compact support; Shallow water waves; Pattern in liquid drops |
Depositing User: | Ms. Che Wa Zakaria |
Date Deposited: | 03 Feb 2023 08:31 |
Last Modified: | 03 Feb 2023 08:31 |
Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.37934/arfmts.88.1.2434 |
URI: | http://psasir.upm.edu.my/id/eprint/95107 |
Statistic Details: | View Download Statistic |
Actions (login required)
View Item |