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03/03/2023
Time-fractional porous medium equation: Erdélyi-Kober integral equations, compactly supported solutions, and numerical methods
The time-fractional porous medium equation is an important model of many...
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02/28/2022
Error of the Galerkin scheme for a semilinear subdiffusion equation with time-dependent coefficients and nonsmooth data
We investigate the error of the (semidiscrete) Galerkin method applied t...
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02/12/2022
Numerical scheme for Erdélyi-Kober fractional diffusion equation using Galerkin-Hermite method
The aim of this work is to devise and analyse an accurate numerical sche...
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07/22/2021
On a discrete composition of the fractional integral and Caputo derivative
We prove a discrete analogue for the composition of the fractional integ...
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07/21/2021
A linear Galerkin numerical method for a strongly nonlinear subdiffusion equation
We couple the L1 discretization for Caputo derivative in time with spect...
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06/09/2021
Linear Galerkin-Legendre spectral scheme for a degenerate nonlinear and nonlocal parabolic equation arising in climatology
A special place in climatology is taken by the so-called conceptual clim...
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06/09/2021
Second order scheme for self-similar solutions of a time-fractional porous medium equation on the half-line
Nonlocality in time is an important property of systems in which their p...
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06/29/2019
