Modeling the Effects of Nonpharmaceutical Interventions on COVID-19 Spread in Kenya by Duncan K. Gathungu, Viona N. Ojiambo, Mark E. M. Kimathi, Samuel M. Mwalili

“…The resulting system of ordinary differential equations (ODEs) is solved using fourth-order and fifth-order Runge–Kutta methods. Different intervention scenarios are considered, and the results show that implementation of closure of education institutions, curfew, and partial lockdown yields predicted delayed peaks of the overall infections, severe cases, and fatalities and subsequently containment of the pandemic in the country.…”
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LOW-FREQUENCY DYNAMIC CHARACTERISTICS OF A MECHANICAL VIBRATION SYSTEM UNDER BILATERAL NONLINEAR RESTRAINTS (MT) by WEN ZhiHua, ZHU XiFeng, WANG JianFeng

“…Through the fourth-order Runge-Kutta numerical algorithm, the dynamic characteristics of the p/1 periodic motion of the system under low frequency excitation, the law of mutual transition and the corresponding law of the coexistence zone of gap and period are analyzed. …”
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Dynamic analysis and Chaos control in a discrete predator-prey model with Holling type IV and nonlinear harvesting by Karima Mokni, Mohamed Ch-Chaoui

“…The model is formulated in terms of difference equations and derived by using the higher-order implicit Runge Kutta method with a very small step size to attain a discrete time version of its continuous counterpart. …”
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Novel Analytical and Numerical Approximations to the Forced Damped Parametric Driven Pendulum Oscillator: Chebyshev Collocation Method by M.R. Alharthi, Alvaro H. Salas, Wedad Albalawi, S.A. El-Tantawy

“…Moreover, the analytical approximation and numerical approximation using the Chebyshev collocation numerical method and the MATHEMATICA command Fit are compared with the Runge–Kutta (RK) numerical solution. Also, the maximum distance error to all obtained approximations is estimated with respect to the RK numerical solution. …”
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A Novel Algorithm for Studying the Effects of Squeezing Flow of a Casson Fluid between Parallel Plates on Magnetic Field by Abdul-Sattar J. A. Al-Saif, Abeer Majeed Jasim

“…Comparisons between the results of the novel algorithm technique and other analytical techniques and one numerical Range-Kutta fourth-order algorithm are provided. The results are found to be in excellent agreement. …”
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The analysis of the effect of piston speed on the operation of a refrigeration compressor operating in the area of wet steam by D. Kh. Sadvakasov, G. I. Chernov, V. S. Evdokimov, N. A. Raykovskiy

“…The numerical calculation of the working process of a refrigeration compressor operating in the field of wet steam was carried out on the basis of a mathematical model and implemented using the Runge– Kutta method of the 4th order in the MathCad package. …”
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Study on the Dynamics of Non-circular Planetary Gear Hydraulic Motor by Wei Shuang, Li Dianqi, Liu Guanghui

“…The dynamics differential equations are solved by using Runge-Kutta method. Taking the 6 8 elliptical planetary gear system as example,the time domain response of gear system is obtained and the influence of the backlash on the dynamic characteristic of the system is analyzed,a theoretical basis for vibration analysis of non-circular gear motor is provided.…”
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Dynamics Analysis of Gears with Constant Relative Curvature Considering Time-varying Effect by Liu Lei, Ni Jiale, Jiang Wuhong

“…In order to investigate the dynamics characteristics of gears with constant relative curvature (CRC gears), a translation-torsional coupling dynamics model of the gear transmission system is established by instantly invoking the geometric parameters of the meshing points, considering the time-varying effects such as the direction of normal meshing force, sliding friction coefficient and meshing stiffness. The Range-Kutta method is utilized to solve the dynamics equations numerically; the model is verified to be correct by comparing with the finite element simulation results. …”
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Flow over Exponentially Stretching Sheet through Porous Medium with Heat Source/Sink by I. Swain, S. R. Mishra, H. B. Pattanayak

“…The governing nonlinear partial differential equations are transformed into a system of coupled nonlinear ordinary differential equations and then solved numerically using a fourth-order Runge-Kutta method with a shooting technique. Graphical results are displayed for nondimensional velocity, temperature, and concentration profiles while numerical values of the skin friction local Nusselt number and Sherwood number are presented in tabular form for various values of parameters controlling the flow system.…”
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The Effects of Crack on the Transmission Matrix of Rotor Systems by Z.K. Peng, Z.Q. Lang, G. Meng, F.L. Chu

“…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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Optimal Control through Leadership of the Cucker and Smale Flocking Model with Time Delays by Adsadang Himakalasa, Suttida Wongkaew

“…Furthermore, the Runge–Kutta discretization method and the nonlinear conjugate gradient method are employed to solve the discrete optimality system. …”
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Temperature Field Analysis for Engagement Process of Friction Disc in Wet Clutch by Yang Yongqiang, Wang Zhongmin, Wang Yongqin

“…The radial heat conduction equation of engagement process of friction disc in wet clutch is established, and the differential quadrature method is used to discretize the heat conduction equation and boundary conditions. The Runge-Kutta method is used to calculate the temperature rise of friction disc changing with time and radius under nominal and full-load conditions of mining locomotive. …”
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Analysis of Nonlinear Dynamic Characteristic of Elliptic Gear with Friction by Fang Wen, Haizhao Dang, Ganwei Cai, Xingbo Liang

“…Different parameters are selected and solved by 4~5-step Runge-Kutta numerical method to analyze the nonlinear dynamic characteristics of elliptic gear pair. …”
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Measuring the Pollutants in a System of Three Interconnecting Lakes by the Semianalytical Method by Indranil Ghosh, M. S. H. Chowdhury, Suazlan Mt Aznam, M. M. Rashid

“…Comparisons with the Adomian decomposition method (ADM) and the well-known purely numerical fourth-order Runge-Kutta method (RK4) suggest that the NIM is a powerful alternative for differential equations providing more realistic series solutions that converge very rapidly in real physical problems.…”
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Stagnation Point Flow of Nanofluid over a Moving Plate with Convective Boundary Condition and Magnetohydrodynamics by Fazle Mabood, Nopparat Pochai, Stanford Shateyi

“…The derived similarity equations and corresponding boundary conditions are solved numerically using Runge-Kutta Fehlberg fourth-fifth order method. To exhibit the effect of the controlling parameters on the dimensionless velocity, temperature, nanoparticle volume fraction, skin friction factor, and local Nusselt and local Sherwood numbers, numerical results are presented in graphical and tabular forms. …”
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PERAN CUSTOMER SATISFACTION MEMEDIASI PENGARUH BRAND IMAGE DAN SERVICE QUALITY TERHADAP CUSTOMER LOYALTY by Kadek Ogi Prasatya, I Putu Gde Sukaatmadja

“…Tujuan penelitian ini mempelajari bagaimana kepuasan pelanggan mempengaruhi citra merek dan kualitas layanan pada loyalitas pelanggan di Coco Mart Kuta Selatan. Studi ini melibatkan 100 orang di Kecamatan Kuta Selatan dengan menggunakan metode purposive sampling. …”
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Research of the Influence of Tooth Surface Wear and Bearing Clearance on Gear Dynamics by Kaida Wang, Ruiliang Zhang, Tie Wang, Yatian Zhou, Fei Wang

“…The dynamic differential equations are solved by Runge-Kutta method and the dynamic response of the system is obtained. …”
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INVESTIGATION ON DYNAMIC CHARACTERISTIC OF CYLINDER GEARS AND SIMULATION BASED ON ADAMS by CHENG YanLi, XIAO ZhengMing, WANG Xu

“…Translational-rotational coupling dynamic model of the cylinder gear transmission system was established using the lumped-parameter method,which considered the time-varying mesh stiffness,mesh damping,friction of tooth surface.According to the design parameters,Runge-Kutta was used to get the vibration displacements of each gear and the mesh force of the gear pair. …”
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Viscous Flow over Nonlinearly Stretching Sheet with Effects of Viscous Dissipation by Javad Alinejad, Sina Samarbakhsh

“…The obtained equations, including nonlinear equation for the velocity field 𝑓 and differential equation by variable coefficient for the temperature field 𝜃, are solved numerically by using the fourth order of Runge-Kutta integration scheme accompanied by shooting technique with Newton-Raphson iteration method. …”
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2-D honeycomb MI wave communication system by Feng LIU, Zhi-jun ZHANG, Xiao-tong ZHANG, Jin-wu XU

“…To realize the high reliable communication and the wireless power transmission in the wireless underground sensor network,a new type of 2D honeycomb magneto-inductivenetwork was put forward at VLF band.The system model was established,and bandwidth,group velocity and beam forming technologies were researched based on the cur-rent dispersion equations.Simulation with Runge-Kutta method was carried out to verify the efficiency of the network.The result show that the omnidirectional propagation can be realized in the proposed honeycomb network with more bal-anced bandwidth and group velocity in every direction compared with the square lattice structure.Directional communi-cation can also be realized based on the cooperative multi-antenna technology.The proposed honeycomb mag-neto-inductive network is very suitable to build wireless sensor networks with high connectivity and power efficiency in the underground environments.…”
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