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An Adaptive Difference Method for Variable-Order Diffusion Equations

Published in arXiv (Cornell University) • Sep 19, 2024
Authors:
Joaquín Quintana-Murillo
,
Santos Bravo Yuste

Abstract

An adaptive finite difference scheme for variable-order fractional-time subdiffusion equations in the Caputo form is studied. The fractional time derivative is discretized by the L1 procedure but using nonhomogeneous timesteps. The size of these timesteps is chosen by an adaptive algorithm in order ...

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