2021
DOI: 10.2478/amns.2021.2.00157
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Precision algorithms in second-order fractional differential equations

Chunguang Liu

Abstract: The discretization of fractional-order differential operators is the key to the digital realization of fractional-order controllers. This paper proposes an improved second-order fractional differential equation operation method based on power series expansion. The algorithm's operation speed and accuracy performance are analyzed. The research found that the algorithm proposed in this paper is suitable for the fractional operation of arbitrary signals, including discrete data sequences whose mathematical model … Show more

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Cited by 11 publications
(6 citation statements)
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“…It can complete the local sampling and image-sharing task using a neural network. Since the convolutional neural networks can collect the spatial and channel information of feature graphs simultaneously, it is mostly used in the backbone network of the algorithm to achieve feature extraction tasks [29][30]. CNN structure is generally divided into the following layers: convolution, pooling, activation, and full connection layer.…”
Section: Basic Structure and Characteristics Of Convolution Neural Ne...mentioning
confidence: 99%
“…It can complete the local sampling and image-sharing task using a neural network. Since the convolutional neural networks can collect the spatial and channel information of feature graphs simultaneously, it is mostly used in the backbone network of the algorithm to achieve feature extraction tasks [29][30]. CNN structure is generally divided into the following layers: convolution, pooling, activation, and full connection layer.…”
Section: Basic Structure and Characteristics Of Convolution Neural Ne...mentioning
confidence: 99%
“…Find the required cloud feature lines. The same-name line of the point cloud is used to analyze the inclination of the building [10]. The acquisition method and the point cloud quality are important factors affecting data accuracy.…”
Section: Comparison Of Lines With the Same Namementioning
confidence: 99%
“…In accounting, improving the quality of accounting information requires the efficient use of infrastructure consolidation and integration can achieve optimization of accounting accounts in terms of quantity and level [5][6][7]. To achieve the optimization requirements, it is necessary to optimize the system settings with the help of digital algorithmic means and to seek breakthroughs in the project data settings [8][9][10][11][12]. By setting the display information and control information of the project, information on the source channel of funds, nature of funds, budget categories, etc, is obtained [13].…”
Section: Introductionmentioning
confidence: 99%
“…Rui Mi. Applied Mathematics and Nonlinear Sciences, 9(1) (2024)[1][2][3][4][5][6][7][8][9][10][11][12][13][14][15] …”
mentioning
confidence: 99%