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  1. 1

    Solution of Second-Order IVP and BVP of Matrix Differential Models Using Matrix DTM by Reza Abazari, Adem Kılıcman

    Published 2012-01-01
    “…We introduce a matrix form of differential transformation method (DTM) and apply for nonlinear second-order initial value problems (IVPs) and boundary value problems (BVPs) of matrix models which are given by 𝐮(𝑡)=𝑓(𝑡,𝐮(𝑡),𝐮(𝑡)) and subject to initial conditions 𝐮(𝑎)=𝐮0,𝐮(𝑎)=𝐮1 and boundary conditions 𝐮(𝑎)=𝐮0,𝐮(𝑏)=𝐮1, where 𝐮0,𝐮1∈𝑅𝑟×𝑞. …”
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  2. 2

    The Extraordinary Long-lasting Infrared Echo of PS16dtm Reveals an Extremely Energetic Nuclear Outburst by Ning Jiang, Di Luo, Jiazheng Zhu, Roc M. Cutri

    Published 2025-01-01
    “…PS16dtm is one of the earliest reported tidal disruption events (TDEs) in active galactic nuclei and displays a remarkably bright and long-lived infrared (IR) echo revealed by multiepoch photometry from the Wide-field Infrared Survey Explorer (WISE). …”
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  3. 3

    Application of DTM to heat source/sink in squeezing flow of iron oxide polymer nanofluid between electromagnetic surfaces by Reshu Gupta, A.B. Albidah, NFM Noor, Ilyas Khan

    Published 2025-02-01
    “…The differential transform method (DTM) is employed to solve the problem, and the results are compared with numerical methods to ensure accuracy. …”
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    Deep Tissue Massage and Nonsteroidal Anti-Inflammatory Drugs for Low Back Pain: A Prospective Randomized Trial by Marian Majchrzycki, Piotr Kocur, Tomasz Kotwicki

    Published 2014-01-01
    “…To investigate whether chronic low back pain therapy with deep tissue massage (DTM) gives similar results to combined therapy consisting of DTM and non-steroid anti-inflammatory drugs (NSAID). …”
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  12. 12

    New Indices of Endothelial Function Measured by Digital Thermal Monitoring of Vascular Reactivity: Data from 6084 Patients Registry by Morteza Naghavi, Albert A. Yen, Alex W. H. Lin, Hirofumi Tanaka, Stanley Kleis

    Published 2016-01-01
    “…To further evaluate the relations between patient characteristics and DTM indices in a large patient registry. Methods. …”
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  13. 13

    Controlling Underwater Robots with Electronic Nervous Systems by Joseph Ayers, Nikolai Rulkov, Dan Knudsen, Yong-Bin Kim, Alexander Volkovskii, Allen Selverston

    Published 2010-01-01
    “…DTM networks are realised using neurons based on a 1-D or 2-D Map with two additional parameters that define silent, spiking and bursting regimes. …”
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  14. 14

    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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    Article
  15. 15

    Analytical Approximate Solution of Chemical Kinetics Problems by Hatıra Günerhan

    Published 2022-09-01
    “…The Differential Transformation Method (DTM) is presented to find an approximate analytical solution to the chemical kinetics problems. …”
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  16. 16

    Numerical Simulation of Fractional Fornberg-Whitham Equation by Differential Transformation Method by Mehmet Merdan, Ahmet Gökdogan, Ahmet Yıldırım, Syed Tauseef Mohyud-Din

    Published 2012-01-01
    “…An approximate analytical solution of fractional Fornberg-Whitham equation was obtained with the help of the two-dimensional differential transformation method (DTM). It is indicated that the solutions obtained by the two-dimensional DTM are reliable and present an effective method for strongly nonlinear partial equations. …”
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  17. 17

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

    Published 2016-01-01
    “…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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  18. 18

    Investigation of Behavior on Solutions of Lane–Emden Complex Differential Equations by a Random Differential Transformation Method by Mehmet Merdan, Merve Merdan, Rıdvan Şahin

    Published 2023-01-01
    “…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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  19. 19

    Analysis of Nonlinear Structural Dynamics and Resonance in Trees by H. Doumiri Ganji, S.S. Ganji, D.D. Ganji, F. Vaseghi

    Published 2012-01-01
    “…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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  20. 20

    Approximate solutions of the Fourth-Order Eigenvalue Problem by Derya Arslan

    Published 2022-06-01
    “…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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