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    Adomian Decomposition Method Combined with Padé Approximation and Laplace Transform for Solving a Model of HIV Infection of CD4+T Cells by Fang Chen, Qing-Quan Liu

    Published 2015-01-01
    “…The classical Adomian decomposition method (ADM) is implemented to solve a model of HIV infection of CD4+T cells. …”
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    Article
  4. 44

    Research and modeling of a multilayer composite material using basalt fabric by A. Karnoub, D. B. Nezhizhimov, K. S. Shirinyan

    Published 2020-03-01
    “…Such a CM will be slightly more expensive than fiberglass and much cheaper than carbon fiber. Products made of composite materials (equivalent to isotropic materials) can be modeled in computer-aided design systems using the finite element method. …”
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    Comparison of the Atmospheric 200 hPa Jet’s Analyses between Proper Orthogonal Decomposition and Advanced Dynamic Mode Decomposition Method by Mei Gao, Xiao-Qun Cao, Bai-Nian Liu, Zi-Hang Han, Shi-Cheng Hou, Guo-Gui Yang

    Published 2020-01-01
    “…The dynamic mode decomposition method (DMD) is an effective technique to extract dynamic information from flow fields that is generated from direct experiment measurements or numerical simulation and has been broadly employed to study the dynamics of the flow, to achieve a reduced-order model (ROM) of the complex high dimensional flow field, and even to predict the evolution of the flow in a short time in the future. …”
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    Data-Driven Method of Modeling Sparse Flow Field Data by WANG Hongxin, XU Degang, ZHOU Kaiwen, LI Linwen, WEN Xin

    Published 2025-05-01
    “…In offline modeling, aimed at the high-dimensional challenge of the flow field, the eigenortho decomposition and other methods are used to reduce the dimensionality of the data and extract the spatial mode of the main flow field. …”
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  9. 49

    Adomian Decomposition and Variational Iteration Methods in the Context of Partial Differential Equations by Khadeejah James Audu, Lawrence Linus, Yusuph Amuda Yahaya, Sıkırulaı Akande

    Published 2025-06-01
    “…This paper aims to investigate two semianalytical techniques called the Adomian Decomposition Method (ADM) and the Variational Iteration Method (VIM), how these methods can be used in practice, and to make a comparative study of the two methods for solving linear and nonlinear PDEs. …”
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  10. 50

    A Tensor-Based Go Decomposition Method for Hyperspectral Anomaly Detection by Meiping Song, Xiao Zhang, Lan Li, Hongju Cao, Haimo Bao

    Published 2025-01-01
    “…Specifically, the TGODEC-AD method combines the typical RX-AD and R-AD with the above decomposition result of the TGODEC model and constructs different modal operator detectors. …”
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    Article
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    Monolithic and Decomposition Methods for Optimal Scheduling of Dynamically Adaptive Water Networks by Bradley Jenks, Aly-Joy Ulusoy, Ivan Stoianov

    Published 2024-10-01
    “…We compare the performance of a decomposition method using the alternating direction method of multipliers (ADMM) with a gradient-based sequential convex programming (SCP) monolithic solver. …”
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  13. 53

    Domain Decomposition CN-FDTD Method for Analyzing Dispersive Metallic Gratings by Xiao-Kun Wei, Wei Shao, Haiyan Ou

    Published 2017-01-01
    “…In this paper, an efficient domain decomposition (DD) technique is originally introduced into the unconditionally stable Crank–Nicolson finite-difference time-domain (CN-FDTD) method for analyzing the extraordinary optical transmission (EOT) phenomenon of periodic metallic gratings. …”
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  14. 54

    Decomposition–Linearization–Sequential Homotopy Methods for Nonlinear Differential/Integral Equations by Chein-Shan Liu, Chung-Lun Kuo, Chih-Wen Chang

    Published 2024-11-01
    “…In the paper, two new analytic methods using the decomposition and linearization technique on nonlinear differential/integral equations are developed, namely, the decomposition–linearization–sequential method (DLSM) and the linearized homotopy perturbation method (LHPM). …”
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    Article
  15. 55

    An Alternative Framework for Dynamic Mode Decomposition with Control by Gyurhan Nedzhibov

    Published 2025-05-01
    “…The new scheme aims to improve computational efficiency while maintaining the reliability and accuracy of the decomposition. We provide a theoretical proof that the dynamic modes produced by the proposed method are exact eigenvectors of the corresponding Koopman operator. …”
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    Deep attention model for arrhythmia signal classification based on multi-objective crayfish optimization algorithmic variational mode decomposition by Yihang Zhang, Hang Zhao

    Published 2025-02-01
    “…The ablation study was implemented to verify the effectiveness of the proposed signal decomposition method and deep attention modules. The performance of the model based on MOCOA-VMD achieves the best accuracy of 94.35%, much higher than the model constructed by modules of EEMD, VMD and CNN. …”
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    Modeling tuberculosis transmission in environmental ecology incorporating vaccination and treatment effects via a fractional-order approach and the Laplace–Adomian decomposition method by Morufu Oyedunsi OLAYIWOLA, Taye Azeez IYANDA, Adedapo Ismaila ALAJE, Akeem Olarewaju YUNUS

    Published 2025-09-01
    “…The memory effects are taken using fractional calculus and solutions obtained using La place-Adomian Decomposition Method (LADM) using semi-analytical solutions formula.The model emphasizes how human ecology reservoirs ensure transmissibility through simulating human ecology interactions with the environment. …”
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    Chaos in Fractional-Order Glucose–Insulin Models with Variable Derivatives: Insights from the Laplace–Adomian Decomposition Method and Generalized Euler Techniques by Sayed Saber, Emad Solouma, Rasmiyah A. Alharb, Ahmad Alalyani

    Published 2025-02-01
    “…Employing the Laplace–Adomian Decomposition Method (LADM) and the Generalized Euler Method (GEM), the research models glucose–insulin interactions with time-varying fractional orders to simulate long-term physiological processes. …”
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