摘要
为了稳定求解平衡扩散速率色谱模型,采用有限差分法建立了其迭代求解的隐式差分方程,讨论了其稳定性与方程误差,通过仿真计算考察了该差分格式的计算误差,并通过甘草苷与甘草素的分离实验进行验证。结果表明:该差分格式在线性及非线性体系下无条件稳定,计算误差小,准确度高;在非线性体系下,甘草苷与甘草素的计算色谱流出曲线与实验流出曲线吻合良好。
To stably calculate equilibrium diffusion model,implicit finite difference equation of chromatography separation was established,its stability and calculation error were discussed.The calculation error of the difference scheme was investigated by simulation and verified by separation experiments of liquiritin and liquiritigenin.Simulation results show that this equation has unconditional stability from linear to nonlinear system,it has smaller error and high accuracy.The agreement of liquiritin and liquiritigenin elution profiles between the experimental data and the calculated values is fairly good under non-linear system.
出处
《中国科技论文》
北大核心
2017年第17期2018-2021,共4页
China Sciencepaper
基金
国家自然科学基金资助项目(21576127)
高等学校博士学科点专项科研基金资助项目(20132120110002)
关键词
隐式差分法
平衡扩散速率模型
稳定性
非线性
数值模拟
implicit finite difference method
equilibrium diffusion （ED） model
stability
non-linear
numerical simulation
