On Reduce Differential Transformation Method for Solving Damped Kawahara Equation

Noufe H. Aljahdaly, Maram A. Alharbi and A. K. Alomari

Mathematical Problems in Engineering, 2022, vol. 2022, 1-7

Abstract: 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.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:9514053

DOI: 10.1155/2022/9514053

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