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• W2301851507 abstract "We construct and justify a high order method for the numerical solution of multi-point boundary value problems for linear multi-term fractional differential equations involving Caputo-type fractional derivatives. Using an integral equation reformulation of the boundary value problem we first regularize the solution by a suitable smoothing transformation. After that we solve the transformed equation by a piecewise polynomial collocation method on a mildly graded or uniform grid. Optimal global convergence estimates are derived and a superconvergence result for a special choice of collocation parameters is established. To illustrate the reliability of the proposed method some numerical results are given." @default.
• W2301851507 created "2016-06-24" @default.
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• W2301851507 date "2016-06-01" @default.
• W2301851507 modified "2023-10-10" @default.
• W2301851507 title "Smoothing transformation and spline collocation for linear fractional boundary value problems" @default.
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• W2301851507 doi "https://doi.org/10.1016/j.amc.2016.02.044" @default.
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