In the recent decade, meshless methods have been handled for solving some PDEs due to
their easiness. One of the most efficient meshless methods is the element free Galerkin …

Most implicit methods for the Swift–Hohenberg (SH) equation with quadratic–cubic
nonlinearity require costly iterative solvers at each time step. In this paper, a non-iterative …

To analyze the complex spatiotemporal evolution law of the high-speed jet flow field in a
liquid-ring pump ejector, both the classic and spectral proper orthogonal decomposition …

This paper deals with developing a fast and robust numerical formulation to simulate a
system of fractional PDEs. At the first stage, the time variable is approximated by a finite …

In this article, we propose and analyze an energy stable, linear, second-order in time,
exponential time differencing multi-step (ETD-MS) method for solving the Swift–Hohenberg …

In this paper, we consider the numerical solution of damped Boussinesq equation using
Ciarlet–Raviart mixed finite element method. An implicit finite difference scheme is used for …

Basic equations of electromagnetic are Maxwell equations. In this manuscript, ADI-IRBF-
GMLS is employed for solving the time-dependent Maxwell equations in two-dimension. For …

The current research aims to develop a fast, stable and efficient numerical procedure for
solving option pricing problems in jump–diffusion models. A backward partial integro …

The main aim of this paper is to present new and simple numerical methods for solving the
time-dependent transport equation on the sphere in spherical coordinates. We use two …

A meshless radial basis function based on partition of unity (RBF-PU) method is proposed to
solve Zakharov–Rubenchik equations. In this local method, the domain is split into …