In this paper, the radial basis reproducing kernel particle method (RB-RKPM) is extended to
solve the elastoplastic large deformation problem. The Galerkin weak form of the …

This paper presents two second-order and linear finite element schemes for the multi-
dimensional nonlinear time-fractional Schrödinger equation. In the first numerical scheme …

In this paper, we study the numerical methods for solving the time-fractional Schrödinger
equation (TFSE) with Caputo or Riemann–Liouville fractional derivative. The numerical …

In this study, a new modified group iterative scheme for solving the two-dimensional (2D)
fractional hyperbolic telegraph differential equation with Dirichlet boundary conditions is …

This paper proposes an efficient spline-based DQ method for the 2D and 3D convection–
diffusion equations (CDEs) with Riesz fractional derivative in space, which have been widely …

We consider the numerical simulation of the coupled nonlinear space fractional Schrödinger
equations. Based on the Galerkin finite element method in space and the Crank-Nicolson …

Fibonacci collocation pseudo-spectral method of variable-order Page 1 http://www.aimspress.com/journal/Math
AIMS Mathematics, 7(8): 14323–14337. DOI: 10.3934/math.2022789 Received: 05 March …

The aim of this paper is to propose a fast meshless numerical scheme for the simulation of
non-linear Schrödinger equations. In the proposed scheme, the implicit-Euler scheme is …

We consider the numerical approximation for a time fractional Schrödinger equation whose
solution exhibits an initial weak singularity. A fully discrete scheme is constructed using L 1 …

We consider solving the Cauchy problem of the Schrödinger equation with potential-free
field by a mollification regularization method in this work. By convolving the measured data …