In this article, developed the compact implicit difference method based Grünwald Letnikov
formula (GLF) to compute the solution of the time-fractional diffusion-wave equation …

We propose two stable and one conditionally stable finite difference schemes of second-
order in both time and space for the time-fractional diffusion-wave equation. In the first …

In this paper, a new derived method is developed for a known numerical differential formula
of the Caputo fractional derivative of order γ ∈ (1, 2) γ∈(1, 2)(Li and Zeng in Numerical …

This paper will examine the approximate solution for the fractional-order wave equation. The
method used for this purpose fundamentally is based on the second kind of Chebyshev …

In this paper, we introduced an accurate computational matrix method for solving systems of
high order fractional differential equations. The proposed method is based on the derived …

In this article, a numerical study is introduced for solving the fractional wave equations by
using an efficient class of finite difference methods. The proposed scheme is based on the …

In this paper, A Chebyshev spectral method is presented to study the deals with the
fractional SIRC model associated with the evolution of influenza A disease in human …

This paper presents an accurate numerical method for solving fractional SIRC model. In this
work, we propose a method so called fractional Chebyshev finite difference method. In this …

Fractional derivative is nonlocal, which is more suitable to simulate physical phenomena
and provides more accurate models of physical systems such as earthquake vibration and …

In this article, numerical study for the fractional Cable equation which is fundamental
equations for modeling neuronal dynamics is introduced by using weighted average of finite …