The high-order ADI difference method and extrapolation method for solving the two-dimensional nonlinear parabolic evolution equations

X Shen, X Yang, H Zhang - Mathematics, 2024 - search.proquest.com
In this paper, the numerical solution for two-dimensional nonlinear parabolic equations is
studied using an alternating-direction implicit (ADI) Crank–Nicolson (CN) difference scheme …

Error estimate of GL‐ADI scheme for 2D multiterm nonlinear time‐fractional subdiffusion equation

Y Jiang, H Chen - Mathematical Methods in the Applied …, 2024 - Wiley Online Library
In this paper, a 2D multiterm nonlinear problem of the form∑ m= 1 lqm D t α mu− Δ u= f (u)
∑ _ m&# x0003D; 1 &# x0005E; lq _m D _t&# x0005E;\alpha_m u-Δ …

Computational performance of a generalized descent gradient method based algorithm with conformable fractional-order derivatives

MA de Andrade Bortoloti - Journal of Computational and Applied …, 2025 - Elsevier
In this paper, we perform an analysis of the Descent Gradient Method (DGM) within the
context of the conformable fractional derivatives. We explore the mathematical properties of …

[PDF][PDF] An efficient numerical scheme in reproducing kernel space for space fractional partial differential equations

B Liu, W Wang - AIMS Mathematics, 2024 - aimspress.com
A numerical approach is proposed for space fractional partial differential equations by the
reproducing kernel approach. Some procedures are presented for improving the existing …

Existence and simulation of solutions for a class of fractional differential systems with p-Laplacian operators on star graphs

Y Zhang, Y Su, Y Yun - 2024 - researchsquare.com
This paper is mainly concerned with the existence and simulation of solutions for a class of
Caputofractional differential systems with $ p $-Laplacian operators on star graphs. The …