42 citations · 43 across the 2 of their papers we have counts for
3 papers
math.NA2024★ 1 cited
An Adaptive Difference Method for Variable-Order Diffusion Equations
Joaquín Quintana-Murillo, Santos Bravo Yuste
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 L…
math.NA2014★ 42 cited
Fast, Accurate and Robust Adaptive Finite Difference Methods for Fractional Diffusion Equations: The Size of the Timesteps does Matter
Santos B. Yuste, Joaquin Quintana-Murillo
The computation time required by standard finite difference methods with fixed timesteps for solving fractional diffusion equations is usually very large because the number of oper…
math.NA2011
A Finite Difference Method with Non-uniform Timesteps for Fractional Diffusion Equations
Santos B. Yuste, Joaquín Quintana-Murillo
An implicit finite difference method with non-uniform timesteps for solving the fractional diffusion equation in the Caputo form is proposed. The method allows one to build adaptiv…