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  1. 1961
  2. 1962
  3. 1963
  4. 1964
  5. 1965
  6. 1966
  7. 1967
  8. 1968

    Convergent Power Series of sech⁡(x) and Solutions to Nonlinear Differential Equations by U. Al Khawaja, Qasem M. Al-Mdallal

    Published 2018-01-01
    “…A detailed comparison with the fourth-order Runge-Kutta method and extensive analysis of the behavior of the error and CPU time are performed.…”
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    Article
  9. 1969

    Heat Transfer in Boundary Layer Magneto-Micropolar Fluids with Temperature-Dependent Material Properties over a Stretching Sheet by Ephesus O. Fatunmbi, Samuel S. Okoya

    Published 2020-01-01
    “…With the aid of similarity conversion analysis, the formulated equations of the flow and heat transfer have been translated into a system of nonlinear ordinary differential equations. Subsequently, Runge–Kutta–Fehlberg integration scheme in company of shooting techniques employed to obtain numerical solutions to the reduced equations. …”
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    Article
  10. 1970

    Photokinetics of Photothermal Reactions by Mounir Maafi

    Published 2025-01-01
    “…The validity of the model equation was established against simulated data obtained by a fourth-order Runge–Kutta method. It was then used to describe and quantify several situations of photothermal reactions, such as the effects of initial concentration, spectator molecules, and incident radiation intensity, and the impact of the latter on the photonic yield. …”
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    Article
  11. 1971

    Mixed Convection Squeezing Flow of Nanofluids in a Rotating Channel with Thermal Radiation by Wankui Bu, Hui Xu, Ilyas Khan, Sheikh Irfan Ullah Khan, Anwar Zeb

    Published 2022-01-01
    “…Then, the explanation was obtained numerically by the Runge–Kutta–Fehlberg (RKF) method. The emerging parameters such as quotient of the electric magnetic field to viscous forces (M), Prandtl number (Pr), and Reynolds number (Re), along with physical parameters such as the Nusselt number and skin friction coefficient, will be integrated graphically. …”
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    Article
  12. 1972

    A Mathematical Model of Tumor-Immune and Host Cells Interactions with Chemotherapy and Optimal Control by Tarekegn Dinku, Boka Kumsa, Jyotirmoy Rana, Aiyappan Srinivasan

    Published 2024-01-01
    “…The optimal system is solved using the forward-backward sweep method with fourth-order Runge–Kutta approximation. Reduction in tumor cell growth has been observed due to the increase in recruitment of immune cells activated by tumor cell antigenicity and the rate of conversion of resting immune cells into active immune cells. …”
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    Article
  13. 1973

    Revisiting the classical target cell limited dynamical within-host HIV model - Basic mathematical properties and stability analysis by Benjamin Wacker

    Published 2024-12-01
    “…As our second main contribution, we underline our theoretical findings through some numerical experiments with standard Runge–Kutta time stepping schemes. We conclude this work with a summary of our main results and a suggestion of an extension for more complex dynamical systems with regard to HIV-infection.…”
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  14. 1974

    Analysis of Metallic Nanoparticles (Cu, Al2O3, and SWCNTs) on Magnetohydrodynamics Water-Based Nanofluid through a Porous Medium by P. K. Pattnaik, S. K. Parida, S. R. Mishra, M. Ali Abbas, M. M. Bhatti

    Published 2022-01-01
    “…To solve the formulated nonlinear differential equations, the Runge–Kutta fourth-order numerical scheme is used in conjunction with the shooting technique. …”
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    Article
  15. 1975

    Bernstein Collocation Method for Solving MHD Jeffery–Hamel Blood Flow Problem with Error Estimations by Ahmad Sami Bataineh, Osman Rasit Isik, Ishak Hashim

    Published 2022-01-01
    “…As a consequence, the solution is estimated using a numerical approach based on Bernstein polynomials, and the findings are verified by the 4th-order Runge–Kutta results. Comparison with the homotopy perturbation method shows that the present method gives much higher accuracy. …”
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    Article
  16. 1976

    Non-oscillatory central schemes for the Saint-Venant system by Rooholah Abedian

    Published 2025-02-01
    “…The proposed method combines a Runge-Kutta scheme for accurate time integration and the natural continuous extension method for spatial discretization. …”
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    Article
  17. 1977

    The Effects of Crack on the Transmission Matrix of Rotor Systems by Z.K. Peng, Z.Q. Lang, G. Meng, F.L. Chu

    Published 2011-01-01
    “…The results are validated by numerical experiments where the system responses of a rotor system are obtained using Runge-Kutta method. The results are of significance for the development of effective crack detection methods in practice.…”
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    Article
  18. 1978

    Deterministic Epidemic Models for Ebola Infection with Time-Dependent Controls by Eric Okyere, Johnson De-Graft Ankamah, Anthony Kodzo Hunkpe, Dorcas Mensah

    Published 2020-01-01
    “…The forward-backward sweep numerical scheme with the fourth-order Runge–Kutta method is used to solve the optimality system for the various control strategies. …”
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    Article
  19. 1979

    The Stochastic Resonance Phenomenon of Different Noises in Underdamped Bistable System by Shan Yang, Zening Fan, Ruibin Ren

    Published 2021-01-01
    “…Then, the factors of influence to the SR are investigated by the Euler-Maruyama algorithm, Milstein algorithm, and fourth-order Runge-Kutta algorithm, respectively. The results show that the SR phenomenon can be generated in the proposed system under certain conditions by adjusting the parameters of the control effect with different noises. …”
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  20. 1980

    Swarming Computational Procedures for the Coronavirus-Based Mathematical SEIR-NDC Model by Suthep Suantai, Zulqurnain Sabir, Muhammad Asif Zahoor Raja, Watcharaporn Cholamjiak

    Published 2022-01-01
    “…The correctness of the stochastic computing scheme performances is verified by using the comparison of the obtained performances of the mathematical SEIR-NDC system and the reference Runge–Kutta scheme. Furthermore, the graphical illustrations of the performance indices, absolute error, and convergence curves are derived to validate the robustness of the proposed ANN-PSOSQP approach for the mathematical SEIR-NDC system.…”
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    Article