Variational Homotopy Perturbation Method for Solving Fractional Initial Boundary Value Problems by Yanqin Liu

“…It is observed that the variational iteration method is very efficient and easier to implements; illustrative examples are included to demonstrate the high accuracy and fast convergence of this new algorithm.…”
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Applications of information navigation method in wireless sensor networks by Wei WEI, Liang ZHANG, De-ke GUO, Pei-yi SHEN

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Investigation of patterns of variation in water quality indicators of the Iset River with the use of neuronet methods by Oleg M. Rosenthal, Vladislav K. Fedotov

The Approximate Solution of Fractional Fredholm Integrodifferential Equations by Variational Iteration and Homotopy Perturbation Methods by Abdelouahab Kadem, Adem Kilicman

“…Variational iteration method and homotopy perturbation method are used to solve the fractional Fredholm integrodifferential equations with constant coefficients. …”
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Using Domain Decomposition Method and Non-Matching Grids for Solving Some Variational Inequalities by M.A. Ignatieva, A.V. Lapin

“…Finite difference approximations and iterative solution methods are constructed for a class of variational inequalities with constraints imposed on the solution and a priori known subdomain containing a free boundary. …”
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MSVMD-Informer: A Multi-Variate Multi-Scale Method to Wind Power Prediction by Zhijian Liu, Jikai Chen, Hang Dong, Zizhuo Wang

“…Wind power prediction plays a crucial role in enhancing power grid stability and wind energy utilization efficiency. Existing prediction methods demonstrate insufficient integration of multi-variate features, such as wind speed, temperature, and humidity, along with inadequate extraction of correlations between variables. …”
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Variational method of numerical solution of the inverse problem of gas lift oil production process by N.M. Temirbekov, A.K. Turarov

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Energy Characterization Method of Resource-efficient Multiple Voltage Thresholds Sampling by WANG Fei, ZHOU Jiawen, CAI Chao

“…To address this, a resource-efficient multiple voltage thresholds (REMVT) sampling method was proposed. …”

The Strong Convergence of Prediction-Correction and Relaxed Hybrid Steepest-Descent Method for Variational Inequalities by Haiwen Xu

“…We establish the strong convergence of prediction-correction and relaxed hybrid steepest-descent method (PRH method) for variational inequalities under some suitable conditions that simplify the proof. …”
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An Adaptive Robust Event-Triggered Variational Bayesian Filtering Method with Heavy-Tailed Noise by Di Deng, Peng Yi, Junlin Xiong

“…In this paper, an adaptive robust event-triggered variational Bayesian filtering method is designed for heavy-tailed noise with inaccurate nominal covariance matrices. …”
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APPLICATION OF DESCRIPTIVE STATISTICS METHODS IN CUSTOMS RISK ANALYSIS by O. E. Kudryavtsev, S. E. Tamrazyan

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Semi-probabilistic assessment of existing bridge using simplified methods for estimation of variance by Lukáš Novák, Drahomír Novák

“…The key ingredient in semi-probabilistic design and assessment of structures is an estimation of coefficient of variation (ECoV). Recently, correlation interval approach together with novel Eigen ECoV were proposed by authors of this paper and theoretically proved to be an efficient and accurate alternative to existing methods. …”
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Systems of Approximating Functions when Using Variational Methods for Calculating Thin-Walled Building Structures by Vladimir V. Karpov

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Variations in Gut Microbiome Profiles Based on Different DNA Extraction Methods: A Comparative Study by Yameng Liu, Xianchun Zhong, Yibin Wang, Kanglong Wang, Cuina Li, Xinyu Liang, Suqin Lin, Ru Zhou, Cen Xie

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Evaluation and prediction of coal seam mining mode: Coefficient of Variation-TOPSIS and CNN-NGO methods by Haixiong Li, Fei Wang

“…Selecting the appropriate method for coal seam mining is the foremost task for the safe and efficient production of coal mines. …”
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Study of Magnetic Features of NiFe Feromagnetic Materials at Various Composition Variations by Simulation Methods by Firman Hanif Romadhon, Lutfi Rohman, Imam Rofi’i

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The variation rule of TBM tunneling parameters in deep composite strata and the recognition method of boreability grade by Haibin Wang, Guogang Cui, Zhen Shi, Ling Zhang, Chengdeng Gao, Ziwei Ding

“…The results show that: (1) the change characteristics of five main tunneling parameters in different formations are obtained through data preprocessing, and the change trends of tunneling speed and penetration in different formations are consistent, while the change trends of cutter speed, thrust, and torque are opposite to that of penetration. (2) The main tunneling parameters in different formations are analyzed by numerical statistics, and it is found that all of them are normally distributed, and the 25% and 75% position of data distribution is taken to the values of 25% and 75% of the data distribution are given, and the reasonable regulation range of each parameter is given. (3) The two characteristic parameters of thrust factor and tunneling specific energy are introduced to analyze the tunneling energy efficiency of TBM tunneling in different strata, and the variation of the characteristic parameters in a single stratum is small, and the oscillatory nature of them in composite strata is significantly higher than that of a single stratum by a factor ranging from 1.29 to 3.64. (4) The identifying method of the tunneling grade of a strata has been established based on the indicators of the tunneling speed and the energy consumption of tunneling, and a characteristic parameter is proposed to identify the level of the tunneling performance. …”
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A novel unified variational finite difference (VFD) solution method for optimal control problems by Amir Norouzzadeh, Nader Nariman-zadeh, Reza Ansari

“…So, the implemented numerical solution is called now as the variational finite difference method. The method of Lagrange multipliers is then utilized for minimization purpose and, as a result, the final set of nonlinear algebraic equations are obtained. …”
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An efficient method for predicting the morphology of proppant packs based on a surrogate model by Tao ZHANG, Hangyu ZHOU, Yifan ZHANG, Jianchun GUO, Haoran GOU, Tang TANG

“…Accurate prediction of the in-fracture proppant placement patterns can help optimize the fracturing design and improve fracturing efficiency. Currently, experimental and numerical methods are the main approaches for reproducing the proppant accumulation process and placement patterns in fractures. …”
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Approximate Solution of Time-Fractional Advection-Dispersion Equation via Fractional Variational Iteration Method by Birol İbiş, Mustafa Bayram

“…This paper aims to obtain the approximate solution of time-fractional advection-dispersion equation (FADE) involving Jumarie’s modification of Riemann-Liouville derivative by the fractional variational iteration method (FVIM). FVIM provides an analytical approximate solution in the form of a convergent series. …”
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