Positive fractional derivative equation modeling of non-Fourier heat conduction
首发时间:2009-10-20
Abstract:This letter makes the first attempt to develop differential equation model of non-Fourier heat conductions by using positive time-fractional derivative. Numerical comparison with the corresponding fractional derivative model shows that when the fractional derivative order 冄僴僴approaches to 2 the two models behave somewhat differently, in contrast, when 冄僴 approaches to zero their behaviors observe very similar. It is worth to point out that our new model decays more slowly than the conventional fractional derivative one. Thus, the positive fractional derivative model can better reflect non-Fourier heat conduction process characterizing strong memory and slow diffusion.
keywords: non-Fourier heat conduction fractional derivative positive fractional derivative
点击查看论文中文信息
Positive fractional derivative equation modeling of non-Fourier heat conduction
摘要:This letter makes the first attempt to develop differential equation model of non-Fourier heat conductions by using positive time-fractional derivative. Numerical comparison with the corresponding fractional derivative model shows that when the fractional derivative order 冄僴僴approaches to 2 the two models behave somewhat differently, in contrast, when 冄僴 approaches to zero their behaviors observe very similar. It is worth to point out that our new model decays more slowly than the conventional fractional derivative one. Thus, the positive fractional derivative model can better reflect non-Fourier heat conduction process characterizing strong memory and slow diffusion.
关键词: non-Fourier heat conduction;fractional derivative;positive fractional derivative
基金:
论文图表:
引用
No.3592949501412560****
同行评议
共计0人参与
勘误表
Positive fractional derivative equation modeling of non-Fourier heat conduction
评论
全部评论0/1000