This paper proposes a numerical method to obtain an approximation solution for the time-
fractional Schrödinger Equation (TFSE) based on a combination of the cubic trigonometric B …

A time fractional initial boundary value problem of mixed parabolic–elliptic type is
considered. The domain of such problem is divided into two subdomains. A reaction …

The objective of this work is to implement two efficient techniques, namely, the Laplace
Adomian decomposition method (LADM) and the modified generalized Mittag–Leffler …

This paper constructs a linearized transformed L 1 virtual element method for the
generalized nonlinear coupled time-fractional Schrödinger equations. The solutions to such …

In this paper, we have developed a fully discrete Alikhanov finite element method to solve
the time-fractional Schrödinger equation with non-smooth solution. The proposed scheme …

The time fractional Schrödinger equation contributes to our understanding of complex
quantum systems, anomalous diffusion processes, and the application of fractional calculus …

In this paper, the numerical method for a multiterm time-fractional reaction–diffusion
equation with classical Robin boundary conditions is considered. The full discrete scheme is …

In this work, a time fractional Schrödinger equation with Caputo fractional derivative of order
α∈(0, 1) is considered, whose solution exhibits a weak singularity at initial time. We divide …

This paper proposes a numerical method to obtain an approximation solution for the
timefractional Schrödinger Equation (TFSE) based on a combination of the cubic …

A finite difference/pseudospectral scheme is developed for solving nonlinear time fractional
parabolic equations with Caputo fractional derivative of order 1< α< 2. The boundedness …