Approximate analytical solutions of nonlinear Korteweg-de vries equations

• Main Authors: Che Haziqah Che Hussin, Abdul Rahman Farhan Sabdin, Graygorry Brayone Ekal
• Format: Proceedings
• Language: English; English
• Published: Pusat e-pembelajaran, UMS 2022
• Subjects: Q1-390 Science (General); QA1-939 Mathematics
• Online Access: https://eprints.ums.edu.my/id/eprint/41240/1/ABSTRACT.pdf; https://eprints.ums.edu.my/id/eprint/41240/2/FULL%20TEXT.pdf; https://eprints.ums.edu.my/id/eprint/41240/; https://oer.ums.edu.my/handle/oer_source_files/2441
• Institution: Universiti Malaysia Sabah

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.