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Numerical Computation of Sturm-Liouville Problem with Robin Boundary Condition 具有Robin边界条件的Sturm-Liouville问题的数值计算
T. Akano, O. Fakinlede
The modelling of physical phenomena, such as theearth's free oscillations, the vibration of strings, the interaction ofatomic particles, or the steady state flow in a bar give rise to Sturm-Liouville (SL) eigenvalue problems. The boundary applications ofsome systems like the convection-diffusion equation, electromagneticand heat transfer problems requires the combination of Dirichlet andNeumann boundary conditions. Hence, the incorporation of Robinboundary condition in the analyses of Sturm-Liouville problem. Thispaper deals with the computation of the eigenvalues andeigenfunction of generalized Sturm-Liouville problems with Robinboundary condition using the finite element method. Numericalsolution of classical Sturm–Liouville problem is presented. Theresults show an agreement with the exact solution. High resultsprecision is achieved with higher number of elements.
物理现象的建模,如地球的自由振荡,弦的振动,原子粒子的相互作用,或酒吧的稳态流动产生Sturm-Liouville (SL)特征值问题。一些系统的边界应用,如对流扩散方程、电磁和传热问题,需要狄利克雷和诺伊曼边界条件的结合。因此,将Robinboundary条件引入Sturm-Liouville问题的分析中。本文用有限元法计算了具有Robinboundary条件的广义Sturm-Liouville问题的特征值和特征函数。给出了经典Sturm-Liouville问题的数值解。计算结果与精确解一致。较高的元素数量可以实现较高的结果精度。
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引用次数: 4
Selecting the Best RBF Neural Network Using PSO Algorithm for ECG Signal Prediction 利用粒子群算法选择最佳RBF神经网络进行心电信号预测
N. Mohsenifar, Narjes Mohsenifar, A. Kargar
In this paper, has been presented a stable method for predicting the ECG signals through the RBF neural networks, by the PSO algorithm. In spite of quasi-periodic ECG signal from a healthy person, there are distortions in electrocardiographic data for a patient. Therefore, there is no precise mathematical model for prediction. Here, we have exploited neural networks that are capable of complicated nonlinear mapping. Although the architecture and spread of RBF networks are usually selected through trial and error, the PSO algorithm has been used for choosing the best neural network. In this way, 2 second of a recorded ECG signal is employed to predict duration of 20 second in advance. Our simulations show that PSO algorithm can find the RBF neural network with minimum MSE and the accuracy of the predicted ECG signal is 97%.
本文提出了一种基于粒子群算法的RBF神经网络稳定预测心电信号的方法。尽管健康人的准周期心电信号,但患者的心电图数据存在失真。因此,没有精确的数学模型进行预测。在这里,我们利用了能够进行复杂非线性映射的神经网络。虽然RBF网络的结构和分布通常是通过试错来选择的,但粒子群算法已被用于选择最佳神经网络。这样,利用所记录的心电信号的2秒来提前预测20秒的持续时间。仿真结果表明,粒子群算法能找到MSE最小的RBF神经网络,预测心电信号的准确率达到97%。
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引用次数: 1
Sensitivity Analysis for 14 Bus Systems in a Distribution Network With Distributed Generators 分布式发电机配电网中14个母线系统的灵敏度分析
Journals Iosr, LakshyaBhat, S. Anubhav, Shivarudraswamy
There has been a formidable interest in the area of Distributed Generation in recent times. A wide number of loads are addressed by Distributed Generators and have better efficiency too. The major disadvantage in Distributed Generation is voltage control- is highlighted in this paper. The paper addresses voltage control at buses in IEEE 14 Bus system by regulating reactive power. An analysis is carried out by selecting the most optimum location in placing the Distributed Generators through load flow analysis and seeing where the voltage profile rises. Matlab programming is used for simulation of voltage profile in the respective buses after introduction of DG's. A tolerance limit of +/-5% of the base value has to be maintained.To maintain the tolerance limit, 3 methods are used. Sensitivity analysis of 3 methods for voltage control is carried out to determine the priority among the methods.
近年来,人们对分布式发电领域产生了巨大的兴趣。分布式发电机可以处理大量的负载,而且效率更高。本文着重指出了分布式发电的主要缺点是电压控制问题。本文研究了ieee14总线系统中通过调节无功功率来控制母线电压的方法。通过负荷流分析,选择分布式发电机的最优放置位置,观察电压曲线上升的位置,进行分析。在介绍DG的基础上,利用Matlab编程对各母线的电压分布进行仿真。必须保持基值+/-5%的公差限制。为了保持公差限制,使用了3种方法。对3种电压控制方法进行了灵敏度分析,确定了3种电压控制方法的优先级。
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引用次数: 3
Personalization of Context Information Retrieval Model via User Search Behaviours for Ranking Document Relevance 基于用户搜索行为的个性化文档相关性排序上下文信息检索模型
K. Agbele, L. Olumide, Daniel O. Ekong, Dele Seluwa, A. Onamade
S techniques today are widely used for securing secret information. File types like image, audio, video and text are used for hiding secret information using steganographic techniques. A number of steganographic techniques are available in literature in which least significant bit (LSB) techniques are the most common. In this paper a new technique is demonstrated in which most significant bits (MSB) of pixels are taken into account for hiding secret data bit. In this technique secret data bits are arranged in pairs of two and similarly bits representing pixels are also arranged in pairs. For this purpose the 7th and 6th bits, 6th and 5th bits, 5th and 4th bits, 4th and 3rd bits are arranged to make pairs. The corresponding pairs are numbered as 3rd pair (7th and 6th), 2nd pair (6th and 5th), 1st pair (5th and 4th) and 0th pair (4th and 3rd). For each embedding the secret data bits pair is compared with the pairs of pixel bits and embedding is done on the basis of similarity between pairs. If no similarity is found in pairs then secret data pairs is embedded in 0th pair of pixel bits. The proposed technique ensures significant signal to noise ratio and is more secure than the existing techniques as the attackers mostly target the least significant bits of pixel for extracting secret information and focuses less on most significant bits.
如今,S技术被广泛用于保护机密信息。文件类型,如图像,音频,视频和文本是用来隐藏秘密信息使用隐写技术。文献中有许多隐写技术,其中最不有效位(LSB)技术是最常见的。本文提出了一种利用像素的最高有效位(MSB)来隐藏秘密数据位的新技术。在这种技术中,秘密数据位是成对排列的,类似的表示像素的位也是成对排列的。为此,将第7位和第6位、第6位和第5位、第5位和第4位、第4位和第3位排列成对。对应的配对编号为第3对(第7和第6对)、第2对(第6和第5对)、第1对(第5和第4对)和第0对(第4和第3对)。对于每次嵌入,将秘密数据位对与像素位对进行比较,并根据对之间的相似性进行嵌入。如果在对中没有发现相似性,则在第0对像素位中嵌入秘密数据对。由于攻击者主要针对像素中最不重要的比特来提取秘密信息,而对最重要的比特关注较少,因此该技术保证了显著的信噪比,并且比现有技术具有更高的安全性。
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引用次数: 0
Estimation of Fuel Cost Function Characteristics Using Cuckoo Search 基于布谷鸟搜索的燃料成本函数特征估计
M. AlRashidi, K. El-Naggar, M. F. AlHajri
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引用次数: 5
Comparative Study of Intuitionistic and Generalized Neutrosophic Soft Sets 直觉性和广义中性软集的比较研究
D. Mandal
The aim of this paper is to define several operations such as Intersection, Union, OR, AND operations of intuitionistic (resp. generalized) neutrosophic soft sets in the sense of Maji and compare these with intuitionistic (resp. generalized) neutrosophic soft sets in the sense of Said et al via examples. At the end of the paper, a new concept extension is introduced, which can be used to refine our choices in case of decision making. Keywords—AND, OR, Union, Intersection, Extension, Decision making.
本文的目的是定义几种运算,如交、并、或和直觉性运算。广义的中性软集,并将其与直觉的软集进行比较。广义的)嗜中性软集在Said等人的意义上通过例子。在本文的最后,引入了一个新的概念扩展,它可以用来细化我们在决策时的选择。关键词and, OR,并集,交集,可拓,决策。
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引用次数: 3
Effect of Time-Periodic Boundary Temperature on the Onset of Nanofluid Convection in a Layer of a Saturated Porous Medium 时间周期边界温度对饱和多孔介质中纳米流体对流开始的影响
J. Umavathi
— The linear stability of nanofluid convection in a horizontal porous layer is examined theoretically when the walls of the porous layer are subjected to time-periodic temperature modulation. The model used for the nanofluid incorporates the effects of Brownian motion and thermopherosis, while the Darcy model is used for the porous medium. The analysis revels that for a typical nanofluid (with large Lewis number) the prime effect of the nanofluids is via a buoyancy effect coupled with the conservation of nanoparticles. The contribution of nanoparticles to the thermal energy equation being a second-order effect. It is found that the critical thermal Rayleigh number can be found reduced or decreased by a substantial amount, depending on whether the basic nanoparticle distribution is top-heavy or bottom-heavy. Oscillatory instability is possible in the case of a bottom-heavy nanoparticle distribution, phase angle and frequency of modulation.
-当多孔层的壁受到时间周期温度调制时,从理论上研究了水平多孔层中纳米流体对流的线性稳定性。用于纳米流体的模型包含了布朗运动和热致作用的影响,而用于多孔介质的模型是达西模型。分析表明,对于典型的纳米流体(具有较大的路易斯数),纳米流体的主要作用是通过浮力效应和纳米颗粒的守恒效应。纳米粒子对热能方程的贡献是二阶效应。研究发现,根据基本纳米颗粒分布是头重还是底重,临界热瑞利数会有很大程度的降低或降低。在重底纳米粒子分布、相位角和调制频率的情况下,振荡不稳定性是可能的。
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引用次数: 2
Optimal Sizing and Placement of Distributed Generators for Profit Maximization Using Firefly Algorithm 基于萤火虫算法的利润最大化分布式发电机的优化尺寸和布局
Engy Mohamed, Y. Hegazy
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引用次数: 5
Theory and Practice of Wavelets in Signal Processing 小波在信号处理中的理论与实践
J. Karam
The methods of Fourier, Laplace and wavelet transforms provide transfer functions and relationships between the input and the output signals in linear time invariant systems. This paper shows the equivalence among these three methods and in each case presenting an application of the appropriateness (Fourier, Laplace or wavelet) to the convolution theorem. In addition it is shown that the same holds for a direct integration method. The biorthogonal wavelets Bior 3.5 and Bior 3.9 are examined and the zeros distribution of their polynomials associated filters are located. Also, this paper presents the significance of utilising wavelets as effective tools in processing speech signals for common multimedia applications in general, and for recognition and compression in particular. Theoretically and practically, wavelets have proved to be effective and competitive. The practical use of the continuous wavelet transform (CWT) in processing and analysis of speech is then presented along with explanations of how the human ear can be thought of as a natural wavelet transformer of speech. This generates a variety of approaches for applying the (CWT) to many paradigms analysing speech, sound and music. For perception, the flexibility of implementation of this transform, allows the construction of numerous scales and we include two of them. Results for speech recognition and speech compression are then included.
傅里叶变换、拉普拉斯变换和小波变换的方法提供了线性时不变系统中输入和输出信号之间的传递函数和关系。本文证明了这三种方法之间的等价性,并在每种情况下给出了适当性(傅里叶、拉普拉斯或小波)对卷积定理的应用。此外,对直接积分法也有同样的结果。研究了双正交小波bior3.5和bior3.9,确定了它们的多项式相关滤波器的零分布。此外,本文还介绍了利用小波作为有效工具来处理语音信号的重要性,特别是在识别和压缩语音信号方面。在理论和实践中,小波分析被证明是有效的和有竞争力的。然后介绍了连续小波变换(CWT)在语音处理和分析中的实际应用,并解释了人耳如何被认为是语音的天然小波变换。这产生了将CWT应用于分析语音、声音和音乐的许多范式的各种方法。对于感知,这种转换的灵活性允许构建许多尺度,我们包括其中两个。然后包括语音识别和语音压缩的结果。
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引用次数: 1
The Existence and Uniqueness of Positive Solution for Nonlinear Fractional Differential Equation Boundary Value Problem 非线性分数阶微分方程边值问题正解的存在唯一性
C. Gu, S. Zhong
In this paper,by using of new fixed point theorem for mixed monotone operator with perturbation,the existence and uniqueness of positive solution for nonlinear fractional differential equation boundary value problem is concerned. Our results can not only guarantee the existence and uniqueness of positive solution,but also be applied to construct an iterative scheme for approximating the solution.
本文利用摄动混合单调算子的新不动点定理,研究了非线性分数阶微分方程边值问题正解的存在唯一性。我们的结果不仅可以保证正解的存在唯一性,而且可以用于构造逼近解的迭代格式。
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引用次数: 0
期刊
World Academy of Science, Engineering and Technology, International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering
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