Year: 2025
Type: article
Abstract: This article presents a novel numerical approach for solving dynamic system models using fractional cubic splines. The proposed method leverages the smoothness and flexibility of fractional cubic splines to approximate solutions of differential equations. By constructing fractional cubic polynomials, we develop a numerical scheme that ensures high accuracy and stability in capturing the complex behaviors inherent in dynamic systems. The effectiveness of the method is demonstrated through numerical experiments on benchmark problems, showcasing its superiority over traditional spline-based techniques in terms of convergence and computational efficiency. The results highlight the potential of fractional cubic splines as a robust tool for the numerical analysis of dynamic systems. MSC 2010 Classifications: 26A33, 11S82, 65Dxx, 97Nxx.
Authors: Karwan S. Mohammed, Faraidun K. Hamasalh
Institutions: University of Sulaimani, Sulaimani Polytechnic University
Language: English
Subfield: Modeling and Simulation
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W7084501884
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