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Sep 2026

Optimal Ultraspherical Spectral Method for Fractional Differential Equations: Parameter Optimization and Application to the Bagley-Torvik Equation

This paper introduces a novel optimal ultraspherical spectral method for solving fractional differential equations, with a particular focus on the Bagley-Torvik equation. We develop a comprehensive theoretical framework based on Gegenbauer (ultraspherical) polynomials [Formula: see text], where the ultraspherical param...

Y. Youssri, S. Sayed · 0 citations

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