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math.NA2024★ 42 cited
A fitted scheme for a Caputo initial-boundary value problem
J. L. Gracia, E. O'Riordan, M. Stynes
In this paper we consider an initial-boundary value problem with a Caputo time derivative of order . The solution typically exhibits a weak singularity near the initial…
math.NA2022★ 1 cited
A singularly perturbed convection-diffusion parabolic problem with incompatible boundary/initial data
Jose Luis Gracia, Eugene O'Riordan
A singularly perturbed parabolic problem of convection-diffusion type with incompatible inflow boundary and initial conditions is examined. In the case of constant coefficients, a…