Mapped Legendre collocation methods for linear Volterra–Fredholm integral equations with delays on a semi-infinite interval
DOI: https://doi.org/10.3846/mma.2026.24076Abstract
In this paper, we present a collocation method for linear Volterra–Fredholm integral equations with delay on a semi-infinite interval. The method employs orthogonal mapped Legendre basis functions together with a mapped Gauss quadrature rule adapted to the Volterra operator, leading to a stable and well-conditioned linear system. The convergence properties of both the collocation and iterated collocation solutions are investigated in the L2- and L∞-norms, and algebraic convergence rates are derived under mild regularity assumptions. Several numerical examples are presented and discussed to show the accuracy and efficiency of the methods.
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Volterra–Fredholm integral equations, delay term, mapped Legendre functions, semi-infinite interval, spectral collocation, convergence analysisHow to Cite
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Copyright (c) 2026 The Author(s). Published by Vilnius Gediminas Technical University.
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Copyright (c) 2026 The Author(s). Published by Vilnius Gediminas Technical University.
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