Approximate Solution of the Fractional Order Sterile Insect Technology Model via the Laplace–Adomian Decomposition Method for the Spread of Zika Virus Disease by William Atokolo, Remigius Okeke Aja, Stephen Ekwueme Aniaku, Ifeanyi Sunday Onah, Godwin C. E. Mbah

“…We employed the use Laplace–Adomian decomposition method (LADM) to determine an analytical (approximate) solution of the model. …”
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Modeling and numerical simulation of Maxwell nanofluid flow with heat generation and convective heating: a combined Adomian decomposition method and Mohand transform by M. M. Khader, M. Adel, Mohammed Messaoudi

“…The study closely examines the effects of heat source terms and viscous forces on the development of the thermal boundary layer (BL) and how convective boundary conditions contribute to increased heat and mass transfer. The modified decomposition method (MDM) combines the Mohand transform and Adomian decomposition method (ADM) to solve complex equations numerically, yielding a convergent series solution. …”
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Federated Bayesian Deep Learning: The Application of Statistical Aggregation Methods to Bayesian Models by John Fischer, Marko Orescanin, Justin Loomis, Patrick Mcclure

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Post-processing of a distributed source method for the localization of somatosensory cortex in a cohort of epilepsy patients by Kevin Tyner, Matthew McCumber, Srijita Das, Carmen Urban, Anthony J. Maxin, Tiffany Chu, Mustaffa Alfatlawi, Stephen V. Gliske

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FAULT DIAGNOSIS METHOD OF ROLLING BEARING BASED ON ICEEMD-FastICA by MA WeiPing, HONG KunYue, AN Ning, SONG YuZhou

“…In response to the difficulty in extracting early fault feature signals of rolling bearings, a joint fault diagnosis method based on Improved Complete Ensemble Empirical Mode Decomposition (ICEEMD) and Independent Component Analysis(ICA) was proposed. …”
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A Novel Method for 3-D Building Structure Determination in Through-the-Wall Radar by Qichang Guo, Xingdong Liang, Yanlei Li

“…Moreover, in order to keep the global correlation of the image in the case of the errors, the tensor Tucker decomposition is adopted. The performance of this method is discussed in the simulation and real radar data results. …”
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Impact of different treatment methods and timings on soil microbial communities with transgenic maize straw return by Yanbo Xie, Jun-Yan Xiang, Likun Long, Yue Ma, Zhenjuan Xing, Ling Wang, Chunyu Shao, Na Liu, Feiwu Li

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A novel method based on the SCNGO‐ICEEMDAN and MCNN‐BiLSTM model for fault diagnosis of motor bearings for more electric aircraft by Dongsheng Yuan, Feng Liu, Zhonggang Yin, Yanqing Zhang, Yanping Zhang, Peien Luo

“…In this article, a Northern Goshawk algorithm using a fusion subtraction optimiser and Cauchy strategy (SCNGO) is proposed to optimise the number of white noise additions and amplitude weights in the improved full set empirical mode decomposition method based on adaptive noise (ICEEMDAN). …”
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Intelligent hybrid method to predict generated power of solar PV system by Prashant Singh, Navneet Kumar Singh, Asheesh Kumar Singh

“…The suggested hybrid model's performance is evaluated and compared to alternative forecasting methods. It is discovered that the suggested model produces more accurate forecasts in terms of MAE, RMSE, and MSE. …”
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Fault Diagnosis Method of Planetary Gearboxes Based on LMD Permutation Entropy and BP Neural Network by Gao Sujie, Wu Shijing, Zhou Jianhua, Zheng Pan, Chen Ben, Xu Jiacai

“…In view of the problems of poor discrimination of fault feature vectors extracted in the process of fault diagnosis of planetary gearboxes and insufficient diagnosis success rate, a method based on Local Mean Decomposition（LMD） permutation entropy and BP neural network is proposed. …”
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Influence of the Method of Treatment of Samples of Biological Nature on the Results of Determination of Heavy Metals by Atomic Emission Spectroscopy by E. N. Blokhina, N. V. Kelus, V. S. Chuchalin

“…Much attention is given to compare 2 methods of sample preparation: solid-phase extraction and microwave decomposition. …”
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Novel AI-powered computational method using tensor decomposition for identification of common optimal bin sizes when integrating multiple Hi-C datasets by Y.-H Taguchi, Turki Turki

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Mixed finite element formulation enriched by Adomian method for vibration analysis of horizontally curved beams by A. Moslehi Tabar, H. Najafi Dehkordi

“…Abstract:The vibration analysis of horizontally curved beams is generally led to higher order shape functions using direct finite element method, resulting in more time-consuming computation process. …”
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RESEARCH ON ROLLING BEARING FAULT FEATURE EXTRACTION METHOD WITH SGMD-MOMEDA (MT) by CAO YaLei, DU YingJun, WEI Guang, DONG XinMin, GAO LiPeng, LIU YuXi

“…Aiming at the problem that the vibration signal of rolling bearing is difficult to extract due to the characteristics of non-linear, non-stationary and low signal-to-noise ratio, a new fault extraction method based on symplectic geometry mode decomposition（SGMD） and multipoint optimal minimum entropy deconvolution adjusted（MOMEDA） theory is proposed. …”
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Time-Frequency Feature Extraction Method for Weak Acoustic Signals from Drill Pipe of Seafloor Drill by Jingwei Xu, Buyan Wan, Weicai Quan, Yi Xi, Xianglin Tian

“…However, the existing short-time Fourier transform and wavelet transform methods have the defects of fixed window length, wavelet basis function, and decomposition layers, which lead to the inability to accurately extract the weak acoustic signal features of a drill pipe. …”
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Research on non-destructive testing method for radial defect of anchor bolt based on longitudinal guided wave by Deying TANG, Weimin TANG, Zhiyi ZENG, Qing TIAN, Ailing LI, Yaling GUO, Erdi A’BI, Tongyu WU, Yibo WU

“…The propagation decay law of the longitudinal guided wave in the defect bolt was explored, and the applicability of the short-time Fourier transform, the Hilbert-Huang transform and the empirical mode decomposition method to the radial defect identification of the bolt was compared and analyzed. …”
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Modified Non-Negative Constraint Damping Method for T2 Spectrum Inversion of Nuclear Magnetic Resonance by LEI Xin, LIAO Xinkai, LIAO Lidan

“…Through mathematical modeling and theoretical deduction, it is proved that the algorithm can retain the effective information of T2 spectrum better, and reduce the influence of noise on the solution of inversion problem more effectively. Numerical examples show that the new algorithm has better and more stable inversion effect than the modified truncated singular value decomposition method and damping method, especially in the case of low signal-to-noise ratio, the new algorithm has more obvious advantages, and can further optimize the NMR logging technology.…”
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Bearing Fault Diagnosis Method Based on Improved VMD and Parallel Hybrid Neural Network by Wuyi Chen, Huafeng Cai, Qiu Sun

“…In order to combat the difficulty of fault feature extraction and fault recognition in the field of bearing fault diagnosis, a bearing fault diagnosis method based on improved variational mode decomposition (VMD) and parallel hybrid neural network is proposed, which combines reweighted kurtosis (RK) with variable mode decomposition (VMD) and uses reweighted kurtosis as the evaluation index to select the decomposition times of variational mode decomposition, while removing part of the interference in the fault signal and retaining its impact characteristics. …”
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Performance Enhancement of GPS/INS Integrated Navigation System Using Wavelet Based De-noising method by narjes davari, Asghar Gholami, mohammad shabani

“…Optimum values of the level of decomposition are selected to obtain minimum error. Successfully performing the de-noising method improves the sensors’ signal-to-noise ratios and removes short term errors mixed with motion dynamics and finally provides cleaner and more reliable data to the INS. …”
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Modeling within-host Chikungunya virus dynamics with the immune system using semi-analytical approaches by Morufu Oyedunsi Olayiwola, Akeem Olarewaju Yunus, Adedapo Ismaila, Alaje, Joseph Adeleke Adedeji

“…The Laplace Adomian Decomposition Method (LADM) is used to solve the model. …”
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