In this review paper, we are mainly concerned with the finite difference methods, the
Galerkin finite element methods, and the spectral methods for fractional partial differential …

This book provides efficient and reliable numerical methods for solving fractional calculus
problems. It focuses on numerical techniques for fractional integrals, derivatives, and …

In this paper, two finite difference/element approaches for the time-fractional subdiffusion
equation with Dirichlet boundary conditions are developed, in which the time direction is …

This article aims to fill in the gap of the second-order accurate schemes for the time-
fractional subdiffusion equation with unconditional stability. Two fully discrete schemes are …

In this paper we apply a high order difference scheme and Galerkin spectral technique for
the numerical solution of multi-term time fractional partial differential equations. The …

In this article, a special point is found for the interpolation approximation of the linear
combination of multi-term fractional derivatives. The derived numerical differentiation …

This article adapts an operational matrix formulation of the collocation method for the one-
and two-dimensional nonlinear fractional sub-diffusion equations (FSDEs). In the proposed …

In this paper, our aim is to study the high order finite difference method for the reaction and
anomalous-diffusion equation. According to the equivalence of the Riemann–Liouville and …

The element free Galerkin technique is a meshless method based on the variational weak
form in which the test and trial functions are the shape functions of moving least squares …

In this paper, we apply the dual reciprocity boundary elements method for the numerical
solution of two‐dimensional linear and nonlinear time‐fractional modified anomalous …