On Reduce Differential Transformation Method for Solving Damped Kawahara Equation

Autor: Noufe H. Aljahdaly, Maram A. Alharbi
Rok vydání: 2022
Předmět:
Zdroj: Mathematical Problems in Engineering. 2022:1-7
ISSN: 1563-5147
1024-123X
DOI: 10.1155/2022/9514053
Popis: The damped Kawahara equation (KE) is nonintegrable equation and does not have analytical integration. In this work, the powerful numerical method, which is the reduce differential transformation method (RDTM), is devoted to solve the damped KE. The accuracy of the method is proved. The results are compared with the different numerical methods. The numerical solution is axi-symmetric wave and shows the effect of damping term successfully. We confirmed that the RDTM is useful for solving nonintegrable equations.
Databáze: OpenAIRE