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

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.