A Finite-Difference Scheme for a Linear Multi-Term Fractional-in-Time Differential Equation with Concentrated Capacities
Year: 2021
Author: Aleksandra Delić, Sandra Živanović, Zorica Milovanović Jeknić
International Journal of Numerical Analysis and Modeling, Vol. 18 (2021), Iss. 2 : pp. 265–286
Abstract
In this paper, we consider a linear multi-term subdiffusion equation with coefficients which contain Dirac distributions. Also, we consider subdiffusion equations with dynamical
boundary conditions. The existence of generalized solutions of these initial-boundary value problems is proved. An implicit finite difference scheme is proposed and its stability and convergence
rate are investigated in both cases. The corresponding difference schemes are tested on numerical
examples.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2021-IJNAM-18711
International Journal of Numerical Analysis and Modeling, Vol. 18 (2021), Iss. 2 : pp. 265–286
Published online: 2021-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 22
Keywords: Fractional derivative fractional PDE boundary value problem interface problem finite differences.