In this paper, we design and investigate a higher order ? -uniformly convergent method to solve singularly perturbed parabolic reaction-diffusion problems with large time delay. We use the Crank–Nicolson for derivative, while spatial derivative is discretized using nonstandard finite difference approach on uniform mesh. ...

in this paper, a new numerical method for solving time-fractional diffusion equations is introduced. for this purpose, finite difference scheme for discretization in time and chebyshev collocation method is applied. also, to simplify application of the method, the matrix form of the suggested method is obtained. illustrative examples show that the proposed method is very efficient and accurate.

In this paper, a moving mesh technique and a non-standard finite difference method are combined, and a moving mesh non-standard finite difference (MMNSFD) method is developed to solve an initial boundary value problem involving a quartic nonlinearity that arises in heat transfer with thermal radiation. In this method, the moving spatial grid is obtained by a simple geometric adaptive algorithm ...

Coronavirus disease 2019 (COVID-19) is an infection that can result in lung issues such as pneumonia and, extreme situations, the most severe acute respiratory syndrome. COVID-19 widely investigated by researchers through mathematical models from different aspects. Inspired literature, present paper, generalized deterministic model considered and examined. The basic reproduction number obtained...