The paper aims to put forth a radial basis function-based meshless approach for the
numerical solution of the time-fractional nonlinear mixed diffusion and diffusion-wave …

This article deals with an establishment and sharp theoretical analysis of a numerical
scheme devised for solving the multi-dimensional multi-term time fractional mixed diffusion …

This paper investigates a nonlinear time-fractional mixed sub-diffusion and diffusion-wave
equation with delay. The problem is particularly challenging due to its nonlinear nature, the …

In this work, we propose an efficient finite difference method for the two-dimensional
nonlinear time-fractional diffusion equation with weakly singular solutions. By using …

In this paper, a fully discrete finite element scheme is established with L 1 approximation for
solving the nonlinear time-fractional wave equation with a variable coefficient. The stability …

The aim of this article is to establish a numerical scheme to achieve the theoretical accuracy
near the weak singularity at t= 0 in solving the two-dimensional time-fractional nonlinear …

We construct a fully discrete implicit finite element scheme with L 1 method for solving fully
nonlinear time-fractional wave equations, which is first considered in this work, and then we …

A linearized Galerkin finite element method is presented for numerically solving the semi-
linear time-fractional parabolic problems, whose solutions always display a initial weak …

This study investigates a class of initial-boundary value problems pertaining to the time-
fractional mixed sub-diffusion and diffusion-wave equation (SDDWE). To facilitate the …

In this paper, we have developed an radial basis function (RBF) based meshless method to
solve the time-fractional mixed diffusion and diffusion-wave equation which involves two …