Computational Analysis of Fractional Systems of Korteweg-de Vries Equations Using Elzaki Projected Differential Transform Method
DOI:
https://doi.org/10.37134/Keywords:
Korteweg-de Vries, Elzaki Projected Differential Transform Method, Nonlinear partial differential equations, Numerical simulations, Exact SolutionAbstract
The study investigates the application of the Elzaki Projected Differential Transform Method (EPDTM) to fractional-order nonlinear Korteweg-de Vries (KdV) equations, which are fundamental in describing various nonlinear wave phenomena in physics and engineering. The EPDTM is utilized to derive approximate solutions for these complex systems, leveraging its ability to handle both linear and nonlinear operators effectively. Through comprehensive numerical simulations and comparisons with exact solutions, we demonstrate the method's efficacy in capturing the intricate dynamics of fractional-order systems. The results underscore EPDTM's accuracy, convergence, and computational efficiency, establishing it as a valuable tool for studying and analyzing nonlinear partial differential equations with fractional derivatives. This research contributes to advancing computational methods for nonlinear dynamics and underscores the potential of EPDTM in broader applications across diverse fields of science and engineering.
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