In this study, the highly accurate analytical Aboodh transform decomposition method (ATDM)
in the sense of Caputo fractional derivative is used to determine the approximate and exact …

In the present study, the complex-valued Schrodinger equation (CVSE) is solved
numerically by a nonic B-spline finite element method (FEM) in quantum mechanics. The …

This paper explains and applies a numerical technique utilizing the cubic B-spline functions
and the mean value theorem (MVT) to solve a general time fractional partial differential …

This paper proposes the shifted Legendre Gauss–Lobatto collocation (SL‐GLC) scheme to
solve two‐dimensional space‐fractional coupled reaction–diffusion equations (SFCRDEs) …

We consider the following fractional NLS with focusing inhomogeneous power‐type
nonlinearity: i∂ tu−(− Δ) su+| x|− b| u| p− 1 u= 0,(t, x)∈ ℝ× ℝ N, i ∂ _tu-\left (-Δ\right) &# …

In this paper, we present a highly efficient analytical method that combines the Laplace
transform and the residual power series approach to approximate solutions of nonlinear time …

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, we first established a high-accuracy difference scheme for the time-fractional
Schrödinger equation (TFSE), where the factional term is described in the Caputo derivative …

This paper develops two numerical methods for solving a system of fractional differential
equations based on hybrid shifted orthonormal Bernstein polynomials with generalized …

In this paper, a fractional nonlinear Schrödinger equation has been initially derived for
capturing the dynamics of gravity waves in finite water depth, accounting for factors such as …