Piecewise Approximate Analytical Solutions of High-Order Singular Perturbation Problems with a Discontinuous Source Term by Essam R. El-Zahar

“…Then a piecewise smooth solution of the terminal value reduced system is obtained by using DTM and imposing the continuity and smoothness conditions. …”
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Investigation of Behavior on Solutions of Lane–Emden Complex Differential Equations by a Random Differential Transformation Method by Mehmet Merdan, Merve Merdan, Rıdvan Şahin

“…The random version of the differential transformation method (DTM) is used to obtain an analytical solution close to the solution of the random differential equation. …”
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Development of a Baseline Digital Twin Model as a Prerequisite for the Digital Twin Definition of a PSC-I Bridge with Model Updating Considering Member Stiffness by Gitae Roh, Jaewook Park, Chi-Ho Jeon, Chang-Su Shim

“…This study defines a baseline digital twin model (B-DTM) as the stage preceding real-time data utilization in digital twins. …”
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Data and Knowledge-Driven Bridge Digital Twin Modeling for Smart Operation and Maintenance by Zhe Sun, Bin Liang, Shengyao Liu, Zhansheng Liu

“…This study introduces a novel data and knowledge-driven digital twin modeling (DK-DTM) framework designed to enhance the safe and efficient operation and maintenance (O&M) of bridges. …”
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Analysis of Nonlinear Structural Dynamics and Resonance in Trees by H. Doumiri Ganji, S.S. Ganji, D.D. Ganji, F. Vaseghi

“…To verify the accuracy of the proposed method, the obtained results from DTM are compared with those from the numerical solution. …”
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Approximate solutions of the Fourth-Order Eigenvalue Problem by Derya Arslan

“…In this paper, the differential transformation (DTM) and the Adomian decomposition (ADM) methods are proposed for solving fourth order eigenvalue problem. …”
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Semi-analytical approach for solving the mathematical model of solid-phase diffusion in electrodes: An application of modified differential transform method by Shivaranjini S, Neetu Srivastava

“…The resultant non-dimensional PDE is solved using LT-DTM and LT-αPDTM. The efficiency of the proposed methods are validated by comparison with previous studies. …”
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Thermospheric Neutral Density Variation During the “SpaceX” Storm: Implications From Physics‐Based Whole Geospace Modeling by Dong Lin, Wenbin Wang, Katherine Garcia‐Sage, Jia Yue, Viacheslav Merkin, Joseph M. McInerney, Kevin Pham, Kareem Sorathia

“…Comparison with standalone TIEGCM and empirical NRLMSIS 2.0 and DTM‐2013 models suggests better performance by MAGE in predicting the maximum density enhancement and resolving the gradual recovery process. …”
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Efecto de la fotobiomodulación con cluster de LED en dolor y movilidad mandibular y cervical en pacientes con disfunción temporomandibular by Lucía Píriz, María José Urruty, Laura Hermida, Federico Todeschini, Valentina Lestido, Sandra Kalil Bussadori, Kristianne Porta, Anna Carolina Ratto, Raquel Agnelli

“… Objetivos: Validar los efectos de la fotobiomodulacion con el uso de cluster de LEDs rojo (660nm) e infrarrojo (850nm) sobre el dolor y la amplitud de los movimientos cervicales y mandibulares en pacientes con DTM.   Métodos:  Ensayo clínico, randomizado, controlado y ciego. …”
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Assessing Thermospheric Neutral Density Models Using GEODYN's Precision Orbit Determination by Z. C. Waldron, K. Garcia‐Sage, J. P. Thayer, E. K. Sutton, V. Ray, D. D. Rowlands, F. G. Lemoine, S. B. Luthcke, M. Kuznetsova, R. Ringuette, L. Rastaetter, G. D. Berland

“…This work presents a case study to examine five models (NRLMSIS2.0, DTM2020, JB2008, TIEGCM, and CTIPe) using precise science orbit (PSO) solutions of the Ice, Cloud, and Land Elevation Satellite‐2 (ICESat‐2). …”
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More on fast decreasing trigonometric polynomials by D. Leviatan, O.V. Motorna, I.O. Shevchuk

“…In a recent paper, for a fixed $m\in\mathbb N$, we introduced trigonometric polynomials $$ L_n(x):=\frac1{h^m}\underbrace{\int_{-h/2}^{h/2}\dots\int_{-h/2}^{h/2}}_{m\,\text{times}}J_n(x+t_1+\cdots+t_m)\,dt_1\cdots\,dt_m, $$ where $J_n$ is a Jackson-type kernel. …”
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Modified α-Parameterized Differential Transform Method for Solving Nonlinear Generalized Gardner Equation by Abdulghafor M. Al-Rozbayani, Ahmed Farooq Qasim

“…The results with those obtained through the DTM method and exact solutions are compared to confirm the accuracy of our method and its efficiency in reaching the exact solution quickly.…”
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Variational Iteration Method and Differential Transformation Method for Solving the SEIR Epidemic Model by A. Harir, S. Melliani, H. El Harfi, L. S. Chadli

“…The mathematical model based on four nonlinear ODEs is presented, and the corresponding numerical results are studied by applying the variational iteration method (VIM) and differential transformation method (DTM).…”
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Effectiveness of Video-Based Health Education on Breastfeeding Practices Among Infants Aged 0–6 Months in Dirashe District, South Ethiopia: A Cluster Randomized Controlled Trial by Wanzahun Godana Boynito, Ousmane Diongue, Kidus Temesgen, Yordanos Gizachew Yeshitila, Godana Yaya Tessema, Marielle De Souza, Stefaan De Henauw, Adama Diouf, Souheila Abbeddou

“…Additionally, the intervention had no effect on EBF as measured by the DTM. Early introduction of non-breastmilk foods and liquids persisted, despite self-reported EBF extending up to 6 months postpartum.…”
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Application of Soft Computing Paradigm to Large Deformation Analysis of Cantilever Beam under Point Load by Yanmei Cui, Yong Hong, Naveed Ahmad Khan, Muhammad Sulaiman

“…Furthermore, to validate the effectiveness and convergence of algorithm proposed technique, the results of the differential transformation method (DTM) and exact solutions are compared. The statistical analysis of performance indicators in terms of mean, median, and standard deviations further establishes the worth of ANN-GNDO-SQP algorithm.…”
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Modification of the Differential Transform Method With Search Direction Along the Spatial Axis by Helena Nayar, Patrick Azere Phiri

“…This paper presents a modification of the Differential Transform Method (ModDTM) formulated so that the search direction of the solution is along a spatial axis (x). …”
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Equivalent Continuum Coupling-Based Slope Stability Analysis of Zhouning Pumped Storage Power Station by Jinhong Lin, Yongsheng Zhu, Jing Hou, Bing Pan, Weijiang Chu, Wenhong Huang

“…Secondly, the three-dimensional Digital Terrain Model (DTM) with surface image information was established by digital photogrammetry technology for cataloging field fracture information. …”
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Nonlinear Transient Thermal Modeling and Analysis of a Convective-Radiative Fin with Functionally Graded Material in a Magnetic Environment by M. G. Sobamowo, G. A. Oguntala, A. A. Yinusa

“…The developed nonlinear thermal models of linear, quadratic, and exponential variation of thermal conductivity are solved approximately and analytically using the differential transformation method (DTM). In order to verify the accuracies of the nonlinear solutions, exact analytical solutions are also developed with the aids of Bessel, Legendre, and modified Bessel functions. …”
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Isolation of dermatophytes from cats and dogs in ankara by Bilge İşlek Selvi, Murat Yıldırım

“…After 3 weeks of incubation in Sabouraud dextrose agar (SDA) and Dermatophyte selective medium (DTM), colony morphologies were examined macroscopically. …”
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Intelligent Prediction Method for Operation and Maintenance Safety of Prestressed Steel Structure Based on Digital Twin Technology by Zhansheng Liu, Antong Jiang, Anshan Zhang, Zezhong Xing, Xiuli Du

“…Taking the spoke-type cable truss as an example, this paper proposes a new concept of integrating the digital twin model (DTM) with steel structure operation and maintenance safety. …”
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