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  1. 1

    Analysis of Random Difference Equations Using the Differential Transformation Method by Şeyma Şişman, Mehmet Merdan

    Published 2024-01-01
    “…The differential transformation method (DTM) is one of the best methods easily applied to linear and nonlinear difference equations with random coefficients. …”
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    Solving Whitham-Broer-Kaup-Like Equations Numerically by using Hybrid Differential Transform Method and Finite Differences Method by Abdulghafor M. Al-Rozbayani, Zeena M. Al-Botani

    Published 2022-02-01
    Subjects: “…Differential Transform Method, Finite Differences Method, Hybrid Differential Transform - Finite Differences Method, Whitham-Broer-Kaup-Like Equations…”
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  4. 4

    Application of a Hybrid of the Different Transform Method and Adomian Decomposition Method Algorithms to Solve the Troesch Problem by Mariusz Pleszczyński, Konrad Kaczmarek, Damian Słota

    Published 2024-12-01
    “…In this paper, we propose a method to solve this problem using a combination of two useful algorithms: Different Transform Method (DTM) and Adomian Decomposition Method (ADM). …”
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  5. 5

    Per‐unit transformation for the combined analysis of multi‐energy integration by Zhang Zhang, Fei Wang, Hui Fan

    Published 2024-12-01
    “…Abstract To handle numerical issues caused by dimensional differences among heterogeneous states in integrated energy systems (IES), this paper proposes a novel per‐unit transformation method and explores its applications to the partial differential equation‐governed models. …”
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    Numerical Solutions of Two-Dimensional Vorticity Transport Equation Using Crank-Nicolson Method by Maan A. Rasheed, Suad Naji Kadhim

    Published 2022-04-01
    “…Namely, for this problem, the Crank-Nicolson finite difference equation is derived.  In addition, the consistency and stability of the Crank-Nicolson method are studied. …”
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    Research and Experiment on Separation Method of Different Electromagnetic Field Components Measured by Tilting Coil by TIAN Yuanshi, ZHU Jun, DIE Yong, YANG Shansen, YANG Ting, LIU Xiao

    Published 2023-12-01
    “…The feasibility of the method is verified by physical simulation and numerical simulation, and the method of extracting single component signals through Discrete Fourier Transform is proposed. …”
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    Calculation of electromagnetic force and temperature distribution of amorphous transformers in different operating modes by finite element method by Hong Hai Pham, Bao Doan Thanh

    Published 2024-03-01
    “… The study used the Finite element method (FEM) by ANSYS 3D software to calculate the distribution of electromagnetic force (EMF) and temperature on the high voltage and low voltage windings (HLVWs) of the amorphous steel core 3 phase transformer (ASCT) which has a power of 1000kVA –22/0.4kV under different load cases: No load, full load and short circuit (SC). …”
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  13. 13

    Calculation of electromagnetic force and temperature distribution of amorphous transformers in different operating modes by finite element method by Hong Hai Pham, Bao Doan Thanh

    Published 2024-03-01
    “… The study used the Finite element method (FEM) by ANSYS 3D software to calculate the distribution of electromagnetic force (EMF) and temperature on the high voltage and low voltage windings (HLVWs) of the amorphous steel core 3 phase transformer (ASCT) which has a power of 1000kVA –22/0.4kV under different load cases: No load, full load and short circuit (SC). …”
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    Article
  14. 14

    Matrix calculation of correlation characteristics based on spectral methods by Liudmyla Laikova, Tetyana Tereshchenko, Iuliia Yamnenko

    Published 2020-08-01
    “…Comparative analysis is conducted for the computational complexity of different types of autocorrelation functions using different spectral methods - Fourier, Walsh, and oriented basis transform.…”
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    Use Different Mathematical Methods to Solve Three Dimensional Conduction Heat Equation in Cartesian Coordinate by AHMED SALAR, Ahmed Jassim

    Published 2022-12-01
    “…In this paper three-dimensional heat conduction equation in cartesian coordinate has been solved in two different methods one of which depends on the separation of variables and the other depends on the integral transform .The results are got and plotted by using Matlab. …”
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    Electromagnetic-thermal evaluation of different non-magnetic material configurations for power transformer tank cover by Mohammad Hassan Hashemi, Kerim Kaplan, Selim Dikmen, Farzad Ataei

    Published 2025-09-01
    “…This substantial current generates a strong magnetic field within the transformer tank and cover plate. A common method to mitigate the associated ohmic losses, known as stray losses, is the application of magnetic shunts. …”
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    Measurement Method of Comprehensive Transportation Development Quality Based on Transportation Efficiency by Jiahao Zhan, Shengwen Yang, Xueyin Wang, Ting Fan

    Published 2023-01-01
    “…The research results not only propose new indicators but also evaluate different modes of transportation within the same dimension. …”
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    Modelo numérico do transporte de água e soluto no solo: I - simulação da distribuição de umidade Numerical model for water and solute transport in the soil: I - simulation of the m... by Marcus M. Corrêa, Mauro A. Martinez, Luiz C. Costa, Hugo A. Ruiz, Marcelo M. Corrêa, Silvio C. Sampaio

    Published 2006-03-01
    “…Os resultados experimentais mostraram, ao nível de probabilidade de 90%, que o modelo SIMASS-C foi preciso em simular o transporte de água no solo.<br>The differential equations that govern the water flow and the solute transport in an unsaturated soil, considering the water extraction by plants were solved using the finite difference method. …”
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    Consistency of Changes in the Ascending and Descending Positions of the Hadley Circulation Using Different Methods by Qianye Su, Chunlei Liu, Yu Zhang, Juliao Qiu, Jiandong Li, Yufeng Xue, Ning Cao, Xiaoqing Liao, Ke Yang, Rong Zheng, Zhiting Liang, Liang Jin, Kejia Huang, Ke Jin, Nankai Zhou

    Published 2025-03-01
    “…The cross-equatorial atmospheric energy transport AHT and the ITCZ position <i>θ<sub>ITCZ</sub></i> from ERA5 are generally anti-correlated, and the correlation coefficients between AHT and <i>θ<sub>ITCZ</sub></i> from different methods are all significant. …”
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