This paper introduces two new modified fourth-order exponential time differencing Runge–
Kutta (ETDRK) schemes in combination with a global fourth-order compact finite difference …

The collocation technique based on the radial basis functions (RBFs) method is simple and
efficient for solving a wide area of problems. But the mentioned technique is poor for solving …

The concept of a fractional derivative is introduced to the predator-prey system to describe
the species anomalous superdiffusive process. To achieve this, a new class of predator-prey …

This paper demonstrates the use of higher order methods to solve some time-dependent stiff
PDEs. In the past, the most popular numerical methods for solving system of reaction …

In this paper, we consider the system of conformable time-fractional Robertson equations
with one-dimensional diffusion having widely varying diffusion coefficients. Due to the …

The finite element method (FEM) is one of the basic methods for solving deterministic and
stochastic partial differential equations. This method is proposed in the 19 decade and after …

Research findings have shown that evolution equations containing non-integer order
derivatives can lead to some useful dynamical systems which can be used to describe …

A fourth-order implicit-explicit time-discretization scheme based on the exponential time
differencing approach with a fourth-order compact scheme in space is proposed for space …

We apply a numerical scheme based on a meshless method in space and an explicit
exponential Runge-Kutta in time for the solution of the damped Kuramoto–Sivashinsky …

One acceptable technique in meshfree methods is collocation procedure based on the
radial basis functions. But the mentioned technique is poor for solving problems that have …