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  1. 1981

    The effects of heterogeneity on Darcy-Benard convection saturated with a ferrofluid by Moussa Rachida, Lagziri Hajar, El Khanoussi Fadoua, El Fakiri Hanae

    Published 2025-01-01
    “…A dimensionless formulation and linear stability analysis are employed to derive an ordinary differential equation, which is solved using the shooting method and a Runge-Kuttasolver. The results indicate that the transition of the wave number from zero to a nonzero value is connected to the Peclet number and other magnetic parameters.…”
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    Article
  2. 1982

    Modeling and Analysis of HIV and Cholera Direct Transmission with Optimal Control by Kumama Regassa Cheneke, Koya Purnachandra Rao, Geremew Kenassa Edessa

    Published 2022-01-01
    “…The optimal system is solved numerically using forward and backward sweep method of Runge Kutta’s fourth-order methods. The numerical simulations are plotted using MATLAB.…”
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    Article
  3. 1983

    Fast Spectral Collocation Method for Solving Nonlinear Time-Delayed Burgers-Type Equations with Positive Power Terms by A. H. Bhrawy, L. M. Assas, M. A. Alghamdi

    Published 2013-01-01
    “…In the second step, the implicit Runge-Kutta method of fourth order is applied to solve a system of ODEs of second order in time. …”
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    Article
  4. 1984

    Nonlinear Vibration of a Continuum Rotor with Transverse Electromagnetic and Bearing Excitations by Haiyang Luo, Yuefang Wang

    Published 2012-01-01
    “…The stability of steady response is analyzed and the amplitude-frequency curve of primary resonance is illustrated. The Runge-Kutta method is adopted to numerically solve transient response of the rotor-bearing system. …”
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    Article
  5. 1985

    Control of Limit Cycle Oscillation in a Three Degrees of Freedom Airfoil Section Using Fuzzy Takagi-Sugeno Modeling by Douglas Domingues Bueno, Luiz Carlos Sandoval Góes, Paulo José Paupitz Gonçalves

    Published 2014-01-01
    “…Time simulations with different initial conditions are performed using a modified Runge-Kutta algorithm to compare the system with and without control forces. …”
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    Article
  6. 1986

    Investigation of Nonlinear Vibrational Analysis of Circular Sector Oscillator by Using Cascade Learning by Naveed Ahmad Khan, Muhammad Sulaiman, Jamel Seidu, Fahad Sameer Alshammari

    Published 2022-01-01
    “…A data set for the supervised learning of the CNN-BLM algorithm for different angles α and radius R are generated by Runge–Kutta (RK-4) method. The BLM algorithm further interprets the dataset with log-sigmoid as an activation function for the solutions’ validation, testing, and training. …”
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    Article
  7. 1987

    Dynamic Analysis of Flexible Shaft and Elastic Disk Rotor System Based on the Effect of Alford Force by Wenjun Yang, Huiqun Yuan, Li Hui, Kaifeng Zhang

    Published 2019-01-01
    “…Taken the flexible shaft and elastic disk rotor system as the research object, vibration differential equations are established by the modal synthesis method. Based on the Runge–Kutta method of direct integration, dynamic equations are solved successfully. …”
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    Article
  8. 1988

    Combined Effect of Buoyancy Force and Navier Slip on MHD Flow of a Nanofluid over a Convectively Heated Vertical Porous Plate by Winifred Nduku Mutuku-Njane, Oluwole Daniel Makinde

    Published 2013-01-01
    “…A suitable similarity transformation is employed to reduce the governing partial differential equations into nonlinear ordinary differential equations, which are solved numerically by employing fourth-order Runge-Kutta with a shooting technique. Three different water-based nanofluids containing copper (Cu), aluminium oxide (Al2O3), and titanium dioxide (TiO2) are taken into consideration. …”
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    Article
  9. 1989
  10. 1990

    TÜRKİYE’DE TURİZM GELİRLERİ İLE EKONOMİK BÜYÜME ARASINDAKİ İLİŞKİ (1992-2003) by Doğan Uysal, Savaş Erdoğan, Mehmet Mucuk

    Published 2004-12-01
    “…Bu çalışma turizm gelirleri ile ekonomik büyüme arasındaki ilişkiyi 1992-2003 dönemleri arasında birim kök testi (ADF), Granger nedensellik testi ve regresyon analizi kullanılarak Türkiye için araştırılmıştır. …”
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    Article
  11. 1991

    TÜRKİYE’DE TURİZM GELİRLERİ İLE EKONOMİK BÜYÜME ARASINDAKİ İLİŞKİ (1992-2003) by Doğan Uysal, Savaş Erdoğan, Mehmet Mucuk

    Published 2004-12-01
    “…Bu çalışma turizm gelirleri ile ekonomik büyüme arasındaki ilişkiyi 1992-2003 dönemleri arasında birim kök testi (ADF), Granger nedensellik testi ve regresyon analizi kullanılarak Türkiye için araştırılmıştır. …”
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    Article
  12. 1992
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  14. 1994
  15. 1995
  16. 1996
  17. 1997
  18. 1998
  19. 1999
  20. 2000