Fractional advection–dispersion equations have proved to be useful for modeling a wide
range of problems in environmental and engineering sciences. In this work, we adapt a …

In this paper, we propose a fast finite difference/RBF meshless method for time fractional
convection-diffusion equation with singularity at the initial moment. Firstly, the time fractional …

In this paper, we present an efficient method for the numerical investigation of three‐
dimensional non‐integer‐order convection‐diffusion equation (CDE) based on radial basis …

In this paper, a novel meshless numerical scheme to solve the time-fractional Oskolkov–
Benjamin–Bona–Mahony–Burgers-type equation has been proposed. The proposed …

In this article, we consider the two-level mesh method for nonlinear Fisher's equation. In the
first step, the proposed method is based on the global radial basis function (RBF) method to …

This paper presents a new method for calculating the numerical solution of distributed-order
time-fractional-sub-diffusion equations (DO-TFSDE) of fourth order. The method extends the …

In this article, we propose a meshless local Petrov Galerkin (MLPG) method based on least
square radial basis function partition of unity method (LS-RBF-PUM), which is applied to the …

In this article, we propose a new two-level method for solving 2D and 3D semilinear elliptic
boundary value problem base on radial basis function (RBF). In the first step, we use the …

In this work, a fast numerical method is considered to solve the space-fractional semilinear
parabolic equations on closed surfaces. It is a challenge in that how to define the space …

In this paper, we design a new framework of direct radial basis function partition of unity (D-
RBF-PU) method to solve parabolic equation on surface with and without boundary. Resort …