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  1. 2321

    Endothermic and exothermic reactions and stagnation point nanofluid flow over a porous stretched surface with a revised Buongiorno model by R.P. Ashrith, K.V. Nagaraja, P. Nimmy, Pinank Patel, Ankur Kulshreshta, J.K. Madhukesh, Chander Prakash

    Published 2025-04-01
    “…The fourth fifth-order scheme of the Runge Kutta Fehlberg method approach was used to solve the PDEs after they were converted into ODEs using similarity variables. …”
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  2. 2322

    Machine-learning emergent spacetime from linear response in future tabletop quantum gravity experiments by Koji Hashimoto, Koshiro Matsuo, Masaki Murata, Gakuto Ogiwara, Daichi Takeda

    Published 2025-01-01
    “…Our machine reads spatially and temporarily inhomogeneous linear response data of the condensed matter system, and incorporates a novel layer that implements the Runge–Kutta method to achieve better numerical control. …”
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  3. 2323

    Investigation of Dynamic Load Sharing Behavior for Herringbone Planetary Gears considering Multicoupling Manufacturing Errors by Fei Ren, Jinchen Ji, Guofu Luo, Shaofu Zhao, Liya Zhao, Guiqin Shi, Xiaoling Wu, Ning Wang

    Published 2021-01-01
    “…By employing the variable-step Runge–Kutta approach to calculate the system dynamic response, in conjunction with the presented calculation approach of the HPGT load sharing coefficient, the relationships among manufacturing errors, component floating, and load sharing are numerically obtained. …”
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  4. 2324

    A Numerical Approach to Study Ablation of Large Bolides: Application to Chelyabinsk by Josep M. Trigo-Rodríguez, Joan Dergham, Maria Gritsevich, Esko Lyytinen, Elizabeth A. Silber, Iwan P. Williams

    Published 2021-01-01
    “…To do that, we implemented a numerical (Runge–Kutta) method appropriate for deriving the ablation properties of bolides based on observations. …”
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  5. 2325

    A Novel Numerical Treatment to One Dimensional Heat and Wave Equations with Second Order Accuracy by Muhammad Abid, Muhammad Shahid

    Published 2024-09-01
    “…The analysis employs finite difference techniques alongside multi-step Adams-Bashforth, Lax-Wendroff, CrankNicolson and Runge-Kutta time integration schemes for addressing heat (diffusion), wave (advection), and convection-diffusion equations over periodic and bounded domains. …”
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  6. 2326

    A comprehensive numerical study exploring the significance of thermally reactive bioconvection in Falkner-Skan flow of Williamson nanomaterials influenced by activation energy and... by M. Israr Ur Rehman, Haibo Chen, Aamir Hamid, Wu Qian, Refka Ghodhbani, Mohamed Hussien

    Published 2025-02-01
    “…Similarity transformations are used to convert the system of partial differential equations into a system of ordinary differential equations, which are then numerically solved using the Runge–Kutta–Fehlberg (RKF-45) method. After the system has been altered, the physical parameters that result are examined and shown graphically. …”
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  7. 2327

    Un modelo microeconómico estocástico del comportamiento del migrante mexicano en Estados Unidos by Rosa María Domínguez Gijón, Francisco Venegas Martínez

    Published 2015-01-01
    “…Asimismo, mediante un modelo VAR se muestra evidencia empírica que confirma los resultados de la propuesta: se utilizan datos de consumo y salario del individuo y variables relevantes asociadas con los migrantes desde 1980 hasta 2011 valiéndose de un análisis de causalidad de Granger, funciones de impulso-respuesta y descomposición de la varianza.…”
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    COINTEGRATION RELATIONSHIP AMONG ELECTRICITY CONSUMPTION, GDP, and ELECTRICITY PRICE VARIABLES in TURKEY by Hüseyin Tatlıdi̇l, Fatih Çemrek, Hülya Şen

    Published 2009-06-01
    “…Çalışma sonucunda, kişi başına elektrik tüketimi, kişi bsşı GSYİH ve elektrik fyatının eşbütünleşik olduğu; uzun dönemde kişi başı elektrik tüketimi değişkeninin kişi başına GSYİH’nın Granger anlamda nedeni olduğu; kısa dönemde ise, GSYİH değişkeninden kişi başı elektrik tüketimi ve elektrik fiyatına doğru tek yönlü nedensellik olduğu bulunmuştur. …”
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