Direct method for Solving Nonlinear Variational Problems by Using Hermite Wavelets by Baghdad Science Journal

“…In this work, we first construct Hermite wavelets on the interval [0,1) with it’s product, Operational matrix of integration 2^k M×2^k M is derived, and used it for solving nonlinear Variational problems with reduced it to a system of algebric equations and aid of direct method. …”
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Adaptive Wavelet Precise Integration Method for Nonlinear Black-Scholes Model Based on Variational Iteration Method by Huahong Yan

“…An adaptive wavelet precise integration method (WPIM) based on the variational iteration method (VIM) for Black-Scholes model is proposed. …”
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Power Load Data Completion Method Based on Integrated Graph Convolutional Variational Transformer by YAN Li, HU Hailin, SHI Lei, WU Qinzheng, LÜ Tianguang, XU Yingdong, ZHANG Wenbin, WANG Gaozhou

“…However， missing data are inevitable in the collection and transmission of power data， which greatly restricts the development of system-coordination optimization and advanced data applications. [Methods] To this end， this paper proposes a new power load missing data completion model based on an integrated graph convolutional variational transformer （IGCVT） network. …”
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Numerical Analysis for a Class of Variational Integrators by Yihan Shen, Yajuan Sun

“…To achieve this, we develop new variational integrators through Lagrangian splitting and prove their equivalence to composition methods. …”
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An Approximation Method for Variational Inequality with Uncertain Variables by Cunlin Li, Hongyu Zhang, Rui Yuan, Yee Hooi Min, Tzu-Chien Yin

“…In this paper, a Stieltjes integral approximation method for uncertain variational inequality problem (UVIP) is studied. …”
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VARIATIONS OF THE ENERGY METHOD FOR STUDYING CONSTRUCTION STABILITY by A. M. Dibirgadzhiev, G. M. Murtazaliev, M. A. Chikaev

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Solution of Variavle Delay integral eqiations using Variational approach by Baghdad Science Journal

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Spatial Variation of Hypsometric Analysis in Nerwa Watershed by Hozan Sadiq Mawlood

“…This study aims to highlight the spatial variation of the values of the hypometric curve and hypsometry integral in the Nirwa basin and its sub-watersheds, and to detect the correlation and the influence degree between the values and the factors influencing them, The importance of the study lies in the fact that it discusses the results of applying mathematical equations to account the values of the hypsometric analysis that indicate the percentage of remaining land masses and the general topographical characteristics of the basin and their exposure to erosion factors, indicating the results in percentage and supported by a graph. …”
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ADOMIAN DECOMPOSITION METHOD AND VARIATIONAL ITERATION METHOD FOR SOLVING SASA-SATSUMA EQUATION by Knier Salih, Saad Manaa

“…The results obtained by the Adomian decomposition method are compared with the exact solution as well as the results obtained by variational iteration method. …”
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Numerical Solutions for the Nonlinear PDEs of Fractional Order by Using a New Double Integral Transform with Variational Iteration Method by Mohammed G. S. AL-Safi, Rand Muhaned Fawzi, Wurood R. Abd AL-Hussein

“…The combining of the DSET with a semi-analytical method, namely the variational iteration method DSETVIM, to arrive numerical solution of nonlinear PDEs of Fractional Order derivatives. …”
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Existence of Solution for a Singular Problem with a General Non-Local Integrated Differential Operator by Abdeljabbar Ghanmi, Abdelhakim Sahbani, Khaled Kefi

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Integrating Stamping-Induced Material Property Variations into FEM Models for Structural Performance Simulation of Sheet-Metal Components by Burello Elia, Hamed Rezvanpour, Dario Cimolino, Francesco Capaccioli, Alberto Vergnano

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The variational theory of fracture: diffuse cohesive energy and elastic-plastic rupture by Riccardo March, Giovanni Lancioni, Gianpietro Del Piero

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Integrated omics profiling of individual variations in intestinal damage to the soybean allergen in piglets by Mengmeng Mi, Yaqing Zheng, Xin Fu, Nan Bao, Li Pan, Guixin Qin, Yuan Zhao

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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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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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Investigating Safe and Economic Adjustment of Power Balance in Smart Grids Based on Integration of Renewable Energy by Hongyan Zhang

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Approximate methods for solving local fractional integral equations by Hassan Kamil Jassim

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SOME PROPERTIES OF THE VARIATIONAL PROBLEMS OF OPTIMAL CONTROL OF CONSUMPTION by Alla Yu. Meyerson, Alexander P. Chernyaev

“…ARTICLE RETRACTEDIn this paper we study the General patterns of models based on variational methods in various problems of optimal control of consumption: decisionmaking in the management of the household, as well as models of the economic dynamics of the Harrod–Domar and Solow. …”
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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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