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本文首次尝试利用WKB方法对双噪声原电路的Vander Por方程进行了讨论,并对倍加OU噪声和可加白噪声下的系统进行了数值计算,所得结果对调节含噪声源的电路有一定指导意义。 相似文献
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High accuracy cubic spline finite difference approximation for the solution of one-space dimensional non-linear wave equations 总被引:1,自引:0,他引:1
In this paper, we propose a new three-level implicit nine point compact cubic spline finite difference formulation of order two in time and four in space directions, based on cubic spline approximation in x-direction and finite difference approximation in t-direction for the numerical solution of one-space dimensional second order non-linear hyperbolic partial differential equations. We describe the mathematical formulation procedure in details and also discuss how our formulation is able to handle wave equation in polar coordinates. The proposed method when applied to a linear hyperbolic equation is also shown to be unconditionally stable. Numerical results are provided to justify the usefulness of the proposed method. 相似文献
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In this paper, we propose a new high accuracy numerical method of O(k2 + k2h2 + h4) based on off-step discretization for the solution of 3-space dimensional non-linear wave equation of the form utt = A(x,y,z,t)uxx + B(x,y,z,t)uyy + C(x,y,z,t)uzz + g(x,y,z,t,u,ux,uy,uz,ut), 0 < x,y,z < 1,t > 0 subject to given appropriate initial and Dirichlet boundary conditions, where k > 0 and h > 0 are mesh sizes in time and space directions respectively. We use only seven evaluations of the function g as compared to nine evaluations of the same function discussed in and . We describe the derivation procedure in details of the algorithm. The proposed numerical algorithm is directly applicable to wave equation in polar coordinates and we do not require any fictitious points to discretize the differential equation. The proposed method when applied to a telegraphic equation is also shown to be unconditionally stable. Comparative numerical results are provided to justify the usefulness of the proposed method. 相似文献
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基于矩孔光学傅里叶变换的匹配滤波器缩放比例标定方法研究 总被引:1,自引:1,他引:0
为了使待识别目标的傅里叶变换频谱与匹配滤波器频谱分布严格重合,提出了一种基于矩孔图像光学傅里叶变换的匹配滤波器缩放比例标定方法。针对范德卢格特型光学相关器,在分析场景空间光调制器傅里叶变换频谱分布的基础上,以矩孔图像的频谱间距作为基准标定匹配滤波器的缩放比例;并利用焦距为400mm的傅里叶透镜作为一个实例,计算出其匹配滤波器缩放比例为1.068,对标定结果进行了实验验证。结果表明,此方法适用于范德卢格特型光学相关器中匹配滤波器的缩放比例标定,能够有效提高相关峰的能量和信噪比。 相似文献
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《Journal of Saudi Chemical Society》2020,24(10):742-753
Ricinoleate anion based ionic liquids (ILs) were synthesized from four different nitrogen containing cationic counterparts such as tetrabutylammonium, tetrapropylammonium, cetyltrimethylammonium, imidazolium. Tribological performance of synthesized ILs were evaluated using four ball tribo tester by blending with two lubricant base oils namely epoxy2-ethylhexyl esters of karanja fatty acids (EKE) and dioctyl sebacate (DOS). Antiwear behaviour was explored by varying different factors including concentration, applied load and rotation speed. It was found that the synthesized ILs in base oil significantly reduced the wear scar diameter by 17–25% at 0.8 wt% and a remarkable reduction in wear scar diameter was observed for all the tested applied load (40 to 80 kg) and rotation speed (1200 to 1742 rpm). Further, the load carrying capacity of base oil was improved by 25–43% at 1.25 wt% of IL dosage. The imidazolium cation containing IL outperform tribological performance among all the ILs being studied. The morphology of worn surface after the wear tests and deposition of elementals on the worn surface lubricated with neat base oil and IL blended base oil was studied by scanning electron microscope (SEM) and energy-dispersive X-ray spectroscopy (EDX). 相似文献
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