Shale gas reservoirs which are usually heterogeneous ones have a multiplicity mode of
occurrence. A comprehensive understanding of the complex migration mechanism is …

In the present paper, we devote our effort to a nonlinear inverse problem for simultaneously
recovering the potential function and the fractional orders in a multi-term time-fractional …

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 …

In this paper, an alternating direction implicit legendre spectral (ADILS) method is developed
for the two-dimensional (2D) multi-term time fractional Oldroyd-B fluid type diffusion …

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 …

An L1‐type difference scheme on graded meshes for time fractional mixed diffusion‐wave
equation with two Caputo derivatives of fractional order α∈(0, 1) α ∈\left (0, 1\right) and …

In this paper, we develop a finite difference method for solving the wave equation with
fractional damping in 1D and 2D cases, where the fractional damping is given based on the …

A fast temporal second-order compact alternating direction implicit (ADI) difference scheme
is proposed and analysed for 2D time fractional mixed diffusion-wave equations. The time …

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 …

To improve the calculation accuracy and efficiency, in this article, we develop a fast time
stepping Legendre spectral method for solving fractional Cable equation, where in temporal …