非局部Swift-Hohenberg方程的积分因子龙格库塔格式  

Integrating Factor Runge-Kutta Format of Nonlocal Swift-Hohenberg Equation

作　　者：汪亚楠 蔡耀雄 WANG Yanan;CAI Yaoxiong(School of Mathematical Sciences,Huaqiao University,Quanzhou 362021,China)

机构地区：[1]华侨大学数学科学学院,福建泉州362021

出　　处：《华侨大学学报（自然科学版）》2023年第5期654-660,共7页Journal of Huaqiao University(Natural Science)

基　　金：福建省自然科学基金资助项目(2020J01074)。

摘　　要：基于显式稳定性积分因子龙格库塔法和傅里叶谱方法,提出4种快速有效求解非局部Swift-Hohenberg方程的数值格式.通过4个数值算例验证格式的收敛性,并进行长时间动力行为的模拟.结果表明:文中算法具有良好的稳定性,且满足能量递减性质.Based on the explicit stability integrating factor Runge-Kutta method and Fourier spectral method,four fast and effective numerical formats for solving nonlocal Swift-Hohenberg equations are proposed.Through four numerical examples,the convergence of the formats are verified,and the simulation of long-term dynamic behaviors are also carried out.The results show that the proposed algorithm has good stability and satisfies the property of decreasing energy.

关 键 词：非局部Swift-Hohenberg方程 积分因子 龙格库塔 傅里叶谱方法 

分 类 号：O241.8[理学—计算数学]