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本文针对第二类端点奇异Fredholm积分方程构造基于分数阶Taylor展开的退化核方法,设计了两种计算格式,一是在全区间上使用分数阶Taylor展开式近似核函数,二是在包含奇点的小区间上采用分数阶插值,在剩余区间上采用分段二次多项式插值逼近核函数.讨论了两种退化核方法收敛的条件,并给出了混合插值法的收敛阶估计.数值算例表明对于非光滑核函数分数阶退化核方法有着良好的计算效果,且混合二次插值法比全区间上的分数阶退化核方法有着更广泛的适用范围. 相似文献
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Using an equation-of-motion technique, we theoretically study the
Fano--Kondo effect in the T-shaped double quantum dots coupled to
two ferromagnetic leads by the Anderson Hamiltonian. We calculate
the density of states in this system with both parallel and
antiparallel lead-polarization alignments, and our results reveal
that the interdot coupling, the spin-polarized strength and the
energy level of the side coupled quantum dot greatly influence the
density of states of the central quantum dot. This system is a
possible candidate for spin valve transistors and may have potential
applications in the spintronics. 相似文献
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