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  1. 1

    Adaptive Wavelet Precise Integration Method for Nonlinear Black-Scholes Model Based on Variational Iteration Method by Huahong Yan

    Published 2013-01-01
    “…An adaptive wavelet precise integration method (WPIM) based on the variational iteration method (VIM) for Black-Scholes model is proposed. …”
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    Direct method for Solving Nonlinear Variational Problems by Using Hermite Wavelets by Baghdad Science Journal

    Published 2015-06-01
    “…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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    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

    Published 2025-04-01
    “…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

    Published 2025-07-01
    “…To achieve this, we develop new variational integrators through Lagrangian splitting and prove their equivalence to composition methods. …”
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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

    Published 2023-06-01
    “…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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    An Approximation Method for Variational Inequality with Uncertain Variables by Cunlin Li, Hongyu Zhang, Rui Yuan, Yee Hooi Min, Tzu-Chien Yin

    Published 2023-01-01
    “…In this paper, a Stieltjes integral approximation method for uncertain variational inequality problem (UVIP) is studied. …”
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    ADOMIAN DECOMPOSITION METHOD AND VARIATIONAL ITERATION METHOD FOR SOLVING SASA-SATSUMA EQUATION by Knier Salih, Saad Manaa

    Published 2025-07-01
    “…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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    Novel Laplace-integrated least square methods for solving the fractional nonlinear damped Burgers' equation by M. Mossa Al-Sawalha, Khalil Hadi Hakami, Mohammad Alqudah, Qasem M. Tawhari, Hussain Gissy

    Published 2025-03-01
    “…These techniques integrate the Laplace transform with the least squares residual power series and least squares variational iteration methods, providing highly accurate solutions for nonlinear fractional differential equations. …”
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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

    Published 2014-01-01
    “…Finally a numerical method based on variational iteration method (VIM) and FLFs is developed for fractional differential equations (FDEs). …”
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    Spatial Variation of Hypsometric Analysis in Nerwa Watershed by Hozan Sadiq Mawlood

    Published 2024-02-01
    “…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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