| Home  | About ScienceAsia  | Publication charge  | Advertise with us  | Subscription for printed version  | Contact us  
Editorial Board
Journal Policy
Instructions for Authors
Online submission
Author Login
Reviewer Login
Volume 50 Number 5
Volume 50 Number 4
Volume 50 Number 3
Volume 50 Number 2
Volume 50 Number 1
Volume 49 Number 6
Earlier issues
Volume  Number 

previous article next article

Research articles

ScienceAsia 50 (2024):ID 2024001 1-11 |doi: 10.2306/scienceasia1513-1874.2024.001


An efficient technique based on barycentric interpolation collocation method for the time fractional Allen-Cahn equation


Rong Huang, Zhifeng Weng*

 
ABSTRACT:     This paper aims to numerically study two well-known difference formulas based on barycentric interpolation collocation method for the time fractional Allen-Cahn equation. The L1 formula and the fast convolution algorithm are used to approximate the Caputo time fractional derivative respectively, and the barycentric interpolation collocation method is applied to discretize the spatial derivative. Moreover, consistency analysis of semi-discretized in space and fully discretized nonlinear scheme is demonstrated. The nonlinear term is treated by explicit scheme to derive the discrete linear equations. Numerical experiments are presented to validate the theoretical results and show the configurations of phase field evolution

Download PDF

36 Downloads 802 Views


a Fujian Province University Key Laboratory of Computation Science, School of Mathematical Sciences, Huaqiao University, Quanzhou 362021 China

* Corresponding author, E-mail: zfwmath@hqu.edu.cn

Received 8 Oct 2022, Accepted 23 Jan 2023