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求解三维空间分数阶对流扩散方程的Douglas-Gunn格式 被引量:3
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作者 聂玉峰 胡嘉卉 王俊刚 《郑州大学学报(理学版)》 CAS 北大核心 2019年第1期44-50,共7页
由于分数阶导数的非局部性特征,在模拟反常扩散现象时使用分数阶偏微分方程具有更好的效果,但是分数阶导数的非局部性也给数值分析和计算带来了很大困难,尤其在多维空间情形下.通过对经典Douglas-Gunn格式的推广,提出一种求解三维空间... 由于分数阶导数的非局部性特征,在模拟反常扩散现象时使用分数阶偏微分方程具有更好的效果,但是分数阶导数的非局部性也给数值分析和计算带来了很大困难,尤其在多维空间情形下.通过对经典Douglas-Gunn格式的推广,提出一种求解三维空间分数阶对流扩散方程(space fractional advection diffusion equation,SFADE)的交替方向隐(alternating direction implicit,ADI)差分格式,并用矩阵法证明了其稳定性和收敛性.用数值算例进一步验证了该格式在空间和时间方向均具有较高的二阶收敛精度,可以高效地求解三维SFADE. 展开更多
关键词 三维SFADE ADI格式 CRANK-NICOLSON格式 douglas-gunn格式 稳定性 收敛性
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Higher order implicit CNDG-PML algorithm for left-handed materials
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作者 CHEN Yanfang WANG Liwei 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2021年第1期31-37,共7页
By incorporating the higher order concept,the piecewise linear recursive convolution(PLRC)method and CrankNicolson Douglas-Gunn(CNDG)algorithm,the unconditionally stable complex frequency shifted nearly perfectly matc... By incorporating the higher order concept,the piecewise linear recursive convolution(PLRC)method and CrankNicolson Douglas-Gunn(CNDG)algorithm,the unconditionally stable complex frequency shifted nearly perfectly matched layer(CFS-NPML)is proposed to terminate the left-handed material(LHM)domain.The proposed scheme takes advantages of CFSNPML formulation,the higher order concept PLRC method and the unconditionally stable CNDG algorithm in terms of absorbing performance,computational efficiency,calculation accuracy and convenient implementation.A numerical example is carried out to demonstrate the effectiveness and efficiency of the proposed scheme.The results indicate that the proposed scheme can not only have considerable absorbing performance but also maintain the unconditional stability of the algorithm with the enlargement of time steps. 展开更多
关键词 complex frequency shifted nearly perfectly matched layer(CFS-NPML) Crank-Nicolson douglas-gunn(cndg) left-handed material(LHM) piecewise linear recursive convolution(PLRC)
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肉桂酰胺格尔德霉素增强肿瘤细胞对力达霉素敏感度的研究
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作者 李良 韩菲菲 甄永苏 《医学研究杂志》 2014年第11期16-20,共5页
目的研究肉桂酰胺格尔德霉素(CNDG)与力达霉素(LDM)联合对应用肿瘤细胞敏感度的影响,并探讨相关DNA损伤修复作用机制。方法用MTT法检测CNDG联合LDM对肿瘤细胞存活率的影响;流式细胞术检测CNDG联合LDM对肿瘤细胞周期的影响;应用免疫荧光... 目的研究肉桂酰胺格尔德霉素(CNDG)与力达霉素(LDM)联合对应用肿瘤细胞敏感度的影响,并探讨相关DNA损伤修复作用机制。方法用MTT法检测CNDG联合LDM对肿瘤细胞存活率的影响;流式细胞术检测CNDG联合LDM对肿瘤细胞周期的影响;应用免疫荧光法和Western blot方法检测CNDG与LDM联合对肿瘤细胞DNA损伤修复相关信号转导分子和DNA双链断裂水平的影响。结果 CNDG与LDM联合给药可增强LDM对肿瘤细胞增殖抑制作用,且显示二者显示协同作用;LDM和CNDG单药均可引起细胞的G2/M期阻滞,二者联合用药后肿瘤细胞G2/M期明显降低;Western blot法检测与凋亡相关的PARP的切割水平,LDM与CNDG两药联合显著提高肿瘤细胞PARP切割水平,CNDG能够降低LDM引起的ATRIP高表达水平和γH2AX阳性的细胞数量。结论 CNDG能够抑制HSP90活性,并降低LDM引起的肿瘤细胞DNA损伤后修复相关信号转导因子的蛋白水平,增强肿瘤细胞对LDM的敏感度。 展开更多
关键词 HSP90抑制剂 肉桂酰胺格尔德霉素 力达霉素 DNA损伤修复
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Unconditionally stable Crank-Nicolson algorithm with enhanced absorption for rotationally symmetric multi-scale problems in anisotropic magnetized plasma
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作者 WEN Yi WANG Junxiang XU Hongbing 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2024年第1期65-73,共9页
Large calculation error can be formed by directly employing the conventional Yee’s grid to curve surfaces.In order to alleviate such condition,unconditionally stable CrankNicolson Douglas-Gunn(CNDG)algorithm with is ... Large calculation error can be formed by directly employing the conventional Yee’s grid to curve surfaces.In order to alleviate such condition,unconditionally stable CrankNicolson Douglas-Gunn(CNDG)algorithm with is proposed for rotationally symmetric multi-scale problems in anisotropic magnetized plasma.Within the CNDG algorithm,an alternative scheme for the simulation of anisotropic plasma is proposed in body-of-revolution domains.Convolutional perfectly matched layer(CPML)formulation is proposed to efficiently solve the open region problems.Numerical example is carried out for the illustration of effectiveness including the efficiency,resources,and absorption.Through the results,it can be concluded that the proposed scheme shows considerable performance during the simulation. 展开更多
关键词 anisotropic magnetized plasma body-of-revolution(BOR) Crank-Nicolson douglas-gunn(cndg) finite-difference time-domain(FDTD) perfectly matched layer(PML) rotationally symmetric multi-scale problems
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