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

“…Then a modified variational iteration formula which can avoid “noise terms” is constructed. …”
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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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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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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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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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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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An Echo State Network Approach for Parameter Variation Robustness Enhancement in FCS-MPC for PMSM Drives by Xiao Zeng, Jing Li, Pengcheng Yang, Hongda Cai, Yongzhi Zhou, Daren Li

“…To address above issue, this article proposes a modified parameter robust FCS-MPC framework that integrates an online learning echo state network (ESN) for real-time compensation of parameter deviations. …”
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Neighborhood Variation in Rate of Revascularization among Acute Myocardial Infarction Patients in New York City by Abdissa Negassa, Jing Fang

“…Method. Using the New York City hospital discharge records during 1998–2002, we employed a hierarchical regression model that integrates patient-level risk factors and neighborhood-level factors to retrospectively examine revascularization patterns among AMI patients. …”
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Synergy and Effectiveness Evaluation of Carbon Policy and Government Subsidies: Variational Inequality Model Based on Supply Chain Network by Chao Wang, Hui Sun, Yuehu Wang

“…Numerical simulations were conducted with a modified projection algorithm, and the Borda method was applied to evaluate equilibrium outcomes, specifically production levels and emission reductions, under each policy combination, revealing synergies between policies. …”
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Axial load induced vibrational changes in nonlocal stress-driven beams by Indronil Devnath, Mohammad Nazmul Islam

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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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Mathematical approach for rapid determination of pull-in displacement in MEMS devices by Yongcun Shao, Yutong Cui

“…A critical challenge in MEMS devices is accurately determining the pull-in displacement and voltage, which significantly impacts device performance. Existing methods, including the variational iteration method and homotopy perturbation method, often fall short in providing precise estimations of these parameters.MethodsThis study introduces a novel mathematical approach that combines physical insights into the pull-in phenomenon with variational theory. …”
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Exploring the efficacy and safety of Yu-Ping-Feng powder with variation against allergic rhinitis: a randomized, double-blind, placebo-controlled trial by Zhi-Xiu Lin, Tin Muk Ho, Yan-Fang Xian, Kam Leung Chan, Qing-Qing Xu, Cho Wing Lo, Justin Che Yuen Wu, Kam Lun Hon, Sin Bond Leung, Chon Pin Chia, Chi Him Sum, Tak Yee Chow, Pui Kuan Cheong, Jessica Yuet Ling Ching, Hongwei Zhang, Ka Chun Leung, Wai Ling Lin

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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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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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The Use of Mixed Methods in Research on Resilience Post Sexual Assault: An Integrative Review by Louisette Abikou, Tausi Haruna

“…<b>Results:</b> Six studies met the inclusion criteria, revealing substantial variation in how mixed-methods approaches were applied. …”
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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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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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