Che Haziqah Che Hussin and Abdul Rahman Farhan Sabdin and Graygorry Brayone Ekal (2022) Approximate analytical solutions of nonlinear Korteweg-de vries equations.
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Abstract
The purpose of this study is to develop and use the Multistep Modified Reduced Differential Transform Method (MMRDTM) for solving the nonlinear Korteweg-de Vries equation (NKdVE)., We substituted the nonlinear component in the NKdVE with the equivalent Adomian polynomials using the proposed strategy prior to implementing the multistep method. As a result, we may acquire solutions for the NKdVE in a simpler and less difficult manner. Furthermore, the solution may be approximated more precisely over a longer time period. To demonstrate the precision and accuracy of the suggested technique, we will graph the features of the proposed solution.
| Item Type: | Proceedings |
|---|---|
| Keyword: | Multistep approach, Nonlinear Korteweg-de Vries equation, Reduced Differential Transform Method, Adomian polynomials |
| Subjects: | Q Science > Q Science (General) > Q1-390 Science (General) Q Science > QA Mathematics > QA1-939 Mathematics |
| Department: | CENTRE > Preparation Centre for Science and Technology |
| Depositing User: | SITI AZIZAH BINTI IDRIS - |
| Date Deposited: | 10 Oct 2024 15:58 |
| Last Modified: | 10 Oct 2024 15:58 |
| URI: | https://eprints.ums.edu.my/id/eprint/41240 |
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