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

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

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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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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

“…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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VARIATIONS OF THE ENERGY METHOD FOR STUDYING CONSTRUCTION STABILITY by A. M. Dibirgadzhiev, G. M. Murtazaliev, M. A. Chikaev

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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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Integrated Model Selection and Scalability in Functional Data Analysis Through Bayesian Learning by Wenzheng Tao, Sarang Joshi, Ross Whitaker

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Enzyme sequence optimisation via Gromov-Wasserstein Autoencoders integrating MSA techniques by Xuze Wang, Yangyang Li, Xiancong Hou, Hao Liu

“…This study proposes an innovative approach by utilising a variational autoencoder (VAE) model integrated with the Gromov-Wasserstein (GW) distance for enzyme sequence optimisation. …”
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Design of an integrated model using deep reinforcement learning and Variational Autoencoders for enhanced quantum security by Harshala Shingne, Diptee Chikmurge, Priya Parkhi, Poorva Agrawal

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R-function method and variational method for the bending problem of functionally graded plates with fixed supports and complex shapes by Kexin Su, Shanqing Li

“…This study integrates the R-function theory with the variational method to investigate the bending problem of functionally graded plates with complex boundaries. …”
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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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Variational Iteration Method for Volterra Functional Integrodifferential Equations with Vanishing Linear Delays by Ali Konuralp, H. Hilmi Sorkun

“…Application process of variational iteration method is presented in order to solve the Volterra functional integrodifferential equations which have multi terms and vanishing delays where the delay function θ(t) vanishes inside the integral limits such that θ(t)=qt for 0<q<1, t≥0. …”
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