Exact Polynomial Annihilation in Weakly Singular Abel-Volterra Equations via Algebraically-Mapped Fractional Chebyshev-Lobatto Collocation
This paper introduces an Algebraically-Mapped Fractional Chebyshev-Lobatto (AMF-CL) spectral collocation scheme that utilizes a non-linear geometric diffeomorphism to absorb weakly singular Abel-type kernels into a smooth domain, thereby achieving exact polynomial annihilation and restoring infinite exponential convergence for Volterra integro-differential equations that traditionally suffer from algebraic order reduction.
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