集美大学学报（自然科学版）2023，Vol.28Issue(5)：421-427,7.DOI:10.19715/j.jmuzr.2023.05.05
时间分数阶Klein-Gordon方程的有限差分方法
Finite Difference Method of Time Fractional Klein-Gordon Equation
摘要
Abstract
This paper mainly studies the finite difference method of time fractional Klein-Gordon equation,and constructs the mean finite difference scheme of time fractional Klein-Gordon equation based on the L1 for-mat,and uses a new energy analysis to prove the convergence and stability of the finite difference scheme.The effectiveness and feasibility of the method were verified by numerical examples.关键词
时间分数阶Klein-Gordon方程/L1格式/收敛性/稳定性Key words
time fractional Klein-Gordon equation/L1 format/convergence/stability分类
数理科学引用本文复制引用
丁鹏,梁宗旗..时间分数阶Klein-Gordon方程的有限差分方法[J].集美大学学报（自然科学版）,2023,28(5):421-427,7.基金项目
国家自然科学基金项目(11801214) （11801214）
福建省自然科学基金项目(2020J01710,2020J01703,2019J01329) （2020J01710,2020J01703,2019J01329）
福建省教育厅项目(JAT190326) （JAT190326）
