ADOMIAN DECOMPOSITION METHOD AND VARIATIONAL ITERATION METHOD FOR SOLVING SASA-SATSUMA EQUATION by Knier Salih, Saad Manaa

“…In this paper, two schemes are proposed to study numerical solutions of the Sasa-Satsuma nonlinear Schrödinger equation with initial conditions using the Adomian decomposition method and the variational iteration method. …”
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An Improved General Five-Component Scattering Power Decomposition Method by Yu Wang, Daqing Ge, Bin Liu, Weidong Yu, Chunle Wang

“…To address these challenges, based on the generalized five-component decomposition (G5U), we propose a hierarchical extension of the G5U method, termed ExG5U, which incorporates orientation and phase angles into the matrix rotation process. …”
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Numerical Solution of Allen – Cahn Equation by Adomian Decomposition Method by Abdulghafor Al-Rozbayani

“…The numerical results that are obtained by the Adomian decomposition method have been compared with the exact solution of  the equation shown that it is more efficient than the DuFort-Frankel method, that is illustrated through the tables and Figures.…”
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Validation of the Decomposition Method for Fast MIMO Over-the-Air Measurements by Bernhard Auinger, Thomas Zemen, Michael Gadringer, Adam Tankielun, Christoph Gagern, Wolfgang Bösch

“…To speed up the OTA test, we analyze the Decomposition Method (DM). The DM splits the throughput measurement into two parts: (1) a receiver algorithm performance tests taking the fading process into account and (2) an antenna performance test without fading process emulation. …”
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The decomposition possibility of vietnamese monazite concentrate by the pressure alkali method by Hai Son Le, Xuan Dinh Luu, Dinh Viet Nguyen, Cong Trinh Bui, Vladimir A. Karelin, Andrey A. Smorokov

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Two-dimensional contour decomposition: Decomposing mortality differences into initial difference and trend components by age and cause of death by Dmitri A. Jdanov, Domantas Jasilionis, Vladimir Shkolnikov

“…However, it does not consider the origin of this difference. Contour decomposition is the only method that does. We extend the contour decomposition method by adding one more dimension that can be used to estimate the contribution of an additional component; e.g., causes of death or educational structure. …”
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Adomian Decomposition and Variational Iteration Methods in the Context of Partial Differential Equations by Khadeejah James Audu, Lawrence Linus, Yusuph Amuda Yahaya, Sıkırulaı Akande

“…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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Economy-wide energy efficiency using a comprehensive decomposition method by D. Setyawan

“…For this goal, this research employs a multiplicative Log Mean Divisia Index II method and Spatial-Temporal Index Decomposition Analysis. …”
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A Linear Decomposition Method to Analyze and Study Pulsar Mode Changes by Longfei Hao, Zhixuan Li, Faxin Shen, Yonghua Xu, Yuxiang Huang, Kejia Lee, Qingzheng Yu, Hongguang Wang

“…In this paper, we present the linear decomposition method (LDM), which we developed to detect and analyze pulsar profile variations and mode-changing behavior. …”
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Flowtigs: Safety in flow decompositions for assembly graphs by Francisco Sena, Eliel Ingervo, Shahbaz Khan, Andrey Prjibelski, Sebastian Schmidt, Alexandru Tomescu

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A Wavelet Decomposition Method for Estimating Soybean Seed Composition with Hyperspectral Data by Aviskar Giri, Vasit Sagan, Haireti Alifu, Abuduwanli Maiwulanjiang, Supria Sarkar, Bishal Roy, Felix B. Fritschi

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

“…Compared to the traditional formulation, the proposed method restructures the computation by decoupling the influence of the state and control components, allowing for a more modular and interpretable implementation. …”
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Solving Integral Equations via a hybrid method between the Modified Adomian Decomposition Method and Bee Algorithm by Noor Basam, Ahmed Entesar

“…In this paper, we used the modified Adomian decomposition(MADM) method to solve integral equations of the Volterra and Fredholm type as well, and then the Adomian method was combined with the bee algorithm(ABC) and obtained values for the parameter that improved the results obtained by solving some examples and were more accurate than the default method, These results are illustrated by calculating the maximum absolute errors (MAE) and mean squared errors (MSE). …”
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Utilisation of eight or more antenatal care visits and its associated socio-economic-related inequalities in sub-Saharan Africa: A decomposition analysis. by Richard Gyan Aboagye, Augustus Osborne, Anayochukwu Edward Anyasodor, Sharon Vera Yikindi, Qorinah Estiningtyas Sakilah Adnani, Bright Opoku Ahinkorah

“…The decomposition analysis showed that educational attainment accounted for about 21% of the inequalities in eight or more ANC visits. …”
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Fault Diagnosis Method of Rolling Bearing based on Fourier Decomposition Method and 1.5-dimensional Teager Energy Spectrum by Zhang Guorui, Wang Xuyuan, Guo Wenbin

“…Based on the characteristic that is the weak fault feature extraction of rolling bearing is very hard under strong background noise,a new method of rolling bearing fault diagnosis based on Fourier decomposition method（ FDM） and 1. 5- dimensional Teager energy spectrum is proposed. …”
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Underwater acoustic signal denoising method based on DBO–VMD and singular value decomposition by A. Weiyi Chen, B. Shizhe Wang, C. Zongji Li, D. Li Dong

“…Regarding this challenge, this paper proposes a novel method called DBO–VMD–SVD. This method utilizes the Dung Beetle Optimization (DBO) algorithm to optimize Variational Mode Decomposition (VMD) and combines it with Singular Value Decomposition (SVD). …”
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Bridge Damage Identification Based on Variational Modal Decomposition and Continuous Wavelet Transform Method by Xiaobiao Jiang, Kun Ma, Jiaquan Wu, Zhengchun Li

“…The introduction of variational modal decomposition makes the extracted signal more accurate, thus enabling more accurate damage identification. …”
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Gaussian decomposition method for full waveform data of LiDAR base on neural network by Jie Liu, Xinjie Zhang, Jing Lv, Xinyu Li, Libin Du

“…Based on simulation and measured data, the decomposition success rate of this method is more than 98% with an average range accuracy of less than 1.5 cm compared to other methods. …”
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A novel LLM time series forecasting method based on integer-decimal decomposition by Lei Wang, Keyao Dong, Xiaoyong Zhao

“…To address this, we propose an Integer-Decimal Decomposition and cross-modal fine-tuning framework for LLMs (IDDLLM). …”
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Two-Stage Global–Local Aerodynamic/Stealth Optimization Method Based on Space Decomposition by Wei Zhang, Lin Zhou, Bowen Shu, Xian Chen, Zhenghong Gao, Jiangtao Huang

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