Numerical Analysis for a Class of Variational Integrators by Yihan Shen, Yajuan Sun

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Couple of the Variational Iteration Method and Fractional-Order Legendre Functions Method for Fractional Differential Equations by Fukang Yin, Junqiang Song, Hongze Leng, Fengshun Lu

“…Finally a numerical method based on variational iteration method (VIM) and FLFs is developed for fractional differential equations (FDEs). …”
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the Solving Partial Differential Equations by using Efficient Hybrid Transform Iterative Method by Ruaa Shawqi Ismael, Ali Al -Fayadh, Saad M. Salman

“…When used to solve KdV , Wave like and  Pseudo – Parabolic equations , the proposed method helps to avoid Problems that frequently arise when determining the Lagrange Multiplier and the difficult integration usedin the variation iteration method , as well as the need to use the transform convolution theorem. …”
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Solution of Nonlinear Partial Differential Equations by New Laplace Variational Iteration Method by Eman M. A. Hilal, Tarig M. Elzaki

“…The aim of this study is to give a good strategy for solving some linear and nonlinear partial differential equations in engineering and physics fields, by combining Laplace transform and the modified variational iteration method. This method is based on the variational iteration method, Laplace transforms, and convolution integral, introducing an alternative Laplace correction functional and expressing the integral as a convolution. …”
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Statistical learning-driven parameter tuning in injection molding using modified simplex method by Pongchanun Luangpaiboon, Walailak Atthirawong, Anucha Hirunwat, Pasura Aungkulanon

“…Nonlinear interactions and quality inconsistencies are frequently encountered by existing methods. The Statistical Learning-Driven Modified Simplex Method (SLMSM) is a novel hybrid optimization framework that is introduced to resolve this gap. …”
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The Use of Mixed Methods in Research on Resilience Post Sexual Assault: An Integrative Review by Louisette Abikou, Tausi Haruna

“…<b>Objectives:</b> This integrative review explores how mixed-methods research (MMR) has been used to study resilience and healing following sexual assault. …”
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A Personalized Energy Expenditure Estimation Method Using Modified MET and Heart Rate-Based DQN by Min-Seo Kim, Ju-Hyeon Seong

“…In this paper, we propose Real-Time Energy Expenditure (RTEE), a novel real-time and personalized energy expenditure estimation (EEE) method. The proposed RTEE integrates a Deep Q-Network (DQN)-based activity intensity coefficient inference network with a modified energy consumption prediction algorithm to estimate energy expenditure based on real-time variations in the user’s heart rate measurements. …”
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Clinical value of Beery visual-motor integration and Beery VMI supplemental tests in Chinese preschoolers: a modified replication cross-sectional study by Xin Tang, Xuan Xu, Cong Wang, Lijuan Ao

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Construction of Fracture Liaison Service Scheme Under Medical Alliance Framework in China: A Modified Delphi Method Study by Yu J, Su L, Feng L, Li Y, Qiao L, Yin H, Li D, Lei Y, Gao H

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A 4D-EnKF Method via a Modified Cholesky Decomposition and Line Search Optimization for Non-Linear Data Assimilation by Elías D. Nino-Ruiz, Jairo Diaz-Rodriguez

“…In this method, control spaces at observation times are represented by full-rank square root approximations of background error covariance matrices, derived using the modified Cholesky decomposition. …”
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Application of Modified Laplace Variational Iteration Hybrid Approach for Solving Time-Fractional Fourth-Order Parabolic PDEs by Mehari Fentahun Endalew, Xiaoming Zhang

“…The current study is aimed at obtaining analytical solutions of fourth-order parabolic partial differential equations of time-fractional derivative with variable coefficients. The modified Laplace variational iteration approach and the homotopy perturbation method were used to treat nonlinear, fourth-order, time-fractional partial differential equations with time-fractional derivatives. …”
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Characterization of Power System Oscillation Modes Using Synchrophasor Data and a Modified Variational Decomposition Mode Algorithm by José Oscullo Lala, Nathaly Orozco Garzón, Henry Carvajal Mora, Diego Echeverria, José Vega-Sánchez, Takaaki Ohishi

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Floristic patterns in the Andes of northern Patagonia’s forests, Argentina: towards integrating ecological responses with expert-based and unsupervised classification methods by Natalia Zoe Joelson, Alois Simon, Friedemann von Lampe, Gabriel Ángel Loguercio, Stefan Zerbe, Christoph Leuschner, Helge Walentowski

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Frontal sinus variation in extant species of the genera Pan, Gorilla and Homo by Antoine Balzeau, Lou Albessard-Ball, Anna Maria Kubicka, Camille Noûs, Laura T. Buck

“…A simple and repeatable method is described here to quantify variation in the shape, size and bilateral variation of the frontal sinuses. …”
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An Optimal Nonlinear Type-2 Fuzzy FOPID Control Design Based on Integral Performance Criteria Using FSM by M. Al-Momani Mohammad, Amneh Al-Mbaideen, Abdullah I. Al-Odienat, Khaled Mohammad Alawasa, Saba F. Al-Gharaibeh

“…In addition to a modified multi-performance criterion cost function, four integral performance criteria are employed as cost functions for each stage. …”
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Voltage Control via Tap-Changing Transformer Using the Holomorphic Embedding Load Flow Method Based on Total Multiplication of Polynomials by Glaucus R. S. Lima, Edimar J. Oliveira, Leonardo W. Oliveira

“…This paper presents an innovative strategy for voltage control in electric power systems by integrating tap-changing transformers with the Holomorphic Embedding Load Flow Method based on Total Multiplication of Polynomials (HELM/TMP). …”
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Modeling and Comparison of the Modified Ludzack–Ettinger Process with Septic Tank Integration for Wastewater Treatment in Small Communities Using GPS-X by Mitra Hosseini, Saba Majidi

“…The current study aims to modeling and comparison of the Modified Ludzack–Ettinger (MLE) process with septic tank (SEP) integration for wastewater treatment in small communities using GPS-X. …”
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Axial load induced vibrational changes in nonlocal stress-driven beams by Indronil Devnath, Mohammad Nazmul Islam

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Application of Twisting Controller and Modified Pufferfish Optimization Algorithm for Power Management in a Solar PV System with Electric-Vehicle and Load-Demand Integration by Arunesh Kumar Singh, Rohit Kumar, D. K. Chaturvedi, Ibraheem, Gulshan Sharma, Pitshou N. Bokoro, Rajesh Kumar

“…The main drivers of the increase in solar photovoltaic (PV) system grid integrations in recent years have been lowering energy costs and pollution. …”
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Analysis method combining improved AE algorithm and signal reconstruction in mechanical faults by Zhenhua Niu

“…Traditional diagnostic methods have shortcomings in accuracy and robustness.MethodsTherefore, the study integrates variational autoencoders with long short-term memory network models, enhances them using dropout methods, and proposes a hybrid diagnostic analysis model that combines improved autoencoder algorithms and signal reconstruction.ResultsThe experiment outcomes indicated that under the slow degradation mode of the bearing, the precision, recall, F1 score, and overall accuracy of the improved autoencoder model were 0.931, 0.933, 0.920, and 0.939, respectively, which were better than the pre-modified model. …”
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