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...