The numerical solution of weakly singular Volterra functional integro-differential equations with variable delays
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We analyze the attainable order of convergence of collocation solutions for
linear and nonlinear Volterra functional integro-differential equations of neutral
type containing weakly singular kernels and nonvanishing delays. The discretization
of the initial-value problem is based on a reformulation as a sequence of ODEs
with nonsmooth solutions. The paper concludes with a brief description of possible
alternative numerical approaches for solving various classes of such functional
integro-differential equations.