A linearized compact difference scheme is presented for a class of nonlinear delay partial
differential equations with initial and Dirichlet boundary conditions. The unique solvability …

In this paper, we consider a numerical scheme for a class of non-linear time delay fractional
diffusion equations with distributed order in time. This study covers the unique solvability …

The paper describes essential reaction–diffusion models with delay arising in population
theory, medicine, epidemiology, biology, chemistry, control theory, and the mathematical …

This paper describes a numerical scheme for a class of fractional diffusion equations with
fixed time delay. The study focuses on the uniqueness, convergence and stability of the …

Книга посвящена линейным и нелинейным обыкновенным дифференциальным
уравнениям и уравнениям в частных производных с постоянным и переменным …

In this paper, a high-order compact alternating direction implicit (HOC ADI) method, which
combines fourth-order compact difference approximation to spatial derivatives and second …

This paper introduces the fast Crank–Nicolson (CN) and compact difference schemes for
solving the one-and two-dimensional fractional diffusion equations with time delay. The CN …

Little attention has been devoted to the numerical studies on maximum-principle-satisfying
FDMs for Fisher's equation with delay. Monotone difference schemes can preserve the …

We construct a compact difference scheme for two-dimensional time-fractional nonlinear
fourth-order diffusion equation with time delay. By choosing the second-order spatial …

The Fisher's equation is established combining the Fick's law for the flux and the mass
conservation law with a reaction term evaluated at the present time. If this term depends on …