TY - JOUR
T1 - A Finite-Difference Scheme for a Linear Multi-Term Fractional-in-Time Differential Equation with Concentrated Capacities
AU - Delić , Aleksandra
AU - Živanović , Sandra
AU - Milovanović Jeknić , Zorica
JO - International Journal of Numerical Analysis and Modeling
VL - 2
SP - 265
EP - 286
PY - 2021
DA - 2021/03
SN - 18
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/18711.html
KW - Fractional derivative, fractional PDE, boundary value problem, interface problem,
finite differences.
AB - <p style="text-align: justify;">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.<br/></p>