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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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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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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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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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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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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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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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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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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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

“…This paper introduces an efficient approach for implementing the Four-Dimensional Variational Ensemble Kalman Filter (4D-EnKF) for non-linear data assimilation, leveraging a modified Cholesky decomposition (4D-EnKF-MC). …”
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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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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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