Important achievements in Chinese studies of Hungary by Szandra Ésik

“… Szandra Ésik's review of the Chinese–Hungarian Dictionary (2017) edited by Huba Bartos and Imre Hamar, and the Hungarian–Chinese Dictionary (2024) edited by Huba Bartos, Imre Hamar and Melinda Pap. …”
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Modelling of vehicle motion by Narimantas Listopadskis

“…Motion of the vehicle is determined by system of differential equations. Fourth-order Runge-Kutta adaptive method was used for solving of the obtained systems of the differential equations. …”
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Cuma Hutbesini Dinlemekle İlgili Rivayetler ve Hükümler by Furkan Çakır, Süleyman Şahin

“… İbadetler içerisinde hutbe, dinî ve toplumsal irşad faaliyetlerinin gerçekleştirildiği önemli bir uygulamadır. …”
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Modelling of vehicle motion control by Narimantas Listopadskis

“…Motion of the vehicle is determined by system of differential equ­ations. Fourth-order Runge–Kutta adaptive method was used for solving of the obtained system of the differential equations. …”
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Solution of the Michaelis-Menten equation using the decompositionmethod by Jagadeesh R. Sonnad, Chetan T. Goudar

“…A detailedcharacterization of the errors in substrate concentrations computed fromdecomposition, Runge-Kutta, and bisection methods over a wide range of $s_{0}$:$K_{m}$ values was made by comparing them with highly accurate solutionsobtained using the Lambert $W$ function. …”
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Application of Piecewise Successive Linearization Method for the Solutions of the Chen Chaotic System by S. S. Motsa, Y. Khan, S. Shateyi

“…Numerical simulations are presented graphically and comparison is made between the PSLM and Runge-Kutta-based methods. The work shows that the proposed method provides good accuracy and can be easily extended to other dynamical systems including those that are chaotic in nature.…”
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Adaptive Numerical Method for Approximation of Traffic Flow Equations by Neda Najafzadeh, Saeid Abbasbandy, Elyas Shivanian

“…In the proposed method, we also use the exponential time differencing (ETD) method and the exponential time differencing fourth-order Runge–Kutta (ETDRK4). The purpose of this new method is to use methods of the moving least squares (MLS) method and a modified exponential time differencing fourth-order Runge–Kutta scheme. …”
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Study of Polarized Wave with a Hydrodynamic Model and Fourier Spectral Method by Dennis Ling Chuan Ching, Zainal Abdul Aziz, Faisal Salah

“…The model is then solved by Fourier spectral and Runge-Kutta 4 methods, and the surface plot is drawn. The output demonstrates the inundation behaviors. …”
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Series Solution of the Multispecies Lotka-Volterra Equations by Means of the Homotopy Analysis Method by A. Sami Bataineh, M. S. M. Noorani, I. Hashim

“…The HAM continuous solution generated by polynomial base functions is of comparable accuracy to the purely numerical fourth-order Runge-Kutta method. The convergence theorem for the three-dimensional case is also given.…”
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Analytical Approximant to a Quadratically Damped Duffing Oscillator by Alvaro H. Salas S

“…We compare the analytical approximant with the Runge–Kutta numerical solution. We also solve the oscillator by menas of He’s homotopy method and the famous Krylov–Bogoliubov–Mitropolsky method. …”
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Application of the Multistep Generalized Differential Transform Method to Solve a Time-Fractional Enzyme Kinetics by Ahmed Alawneh

“…A comparative study between the new algorithm and the classical Runge-Kutta method is presented in the case of integer-order derivatives. …”
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Identification of hub genes and pathogenesis in Kawasaki disease based on bioinformatics analysis by Min Cao, Zhenhu Zhang, Qian Liu, Yuda Zhang

“…Combined with the results of PPI and CytoHubba, 13 key genes were selected as follows: S100A12, HK3, HP, MMP9, MCEMP1, PYGL, ARG1, HIST2H2AA, ANXA3, HIST2H2AC, HIST2H2AA3, GYG1, DYSF. …”
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The Coupled Nonlinear Schrödinger Equations Describing Power and Phase for Modeling Phase-Sensitive Parametric Amplification in Silicon Waveguides by Xuefeng Li, Zhaolu Wang, Hongjun Liu

“…Through solving the coupled NLS equations by the split-step Fourier and Runge-Kutta integration methods, the numerical results show that the coupled NLS equations can perfectly describe and character the PS amplification process in silicon waveguides.…”
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The Existence of Fixed Point Theorems via -Distance and -Admissible Mappings and Applications by Marwan Amin Kutbi, Wutiphol Sintunavarat

“…Our results generalize the result of Kutbi, 2013, and several results in the literature.…”
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Modeling the Dynamics of an Epidemic under Vaccination in Two Interacting Populations by Ibrahim H. I. Ahmed, Peter J. Witbooi, Kailash Patidar

“…Finally we support our analysis by numerical simulation using the fourth order Runge-Kutta method.…”
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The Multistage Homotopy Perturbation Method for Solving Chaotic and Hyperchaotic Lü System by M. S. H. Chowdhury, Nur Isnida Razali, Waqar Asrar, M. M. Rahman

“…To ensure the precision of the technique applied in this work, the results are compared with a fourth-order Runge-Kutta method and the standard HPM. The results show that the MHPM is an efficient and powerful technique in solving both chaotic and hyperchaotic systems.…”
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Analytical Investigation of Magnetohydrodynamic Flow over a Nonlinear Porous Stretching Sheet by Fazle Mabood, Nopparat Pochai

“…The obtained results are compared with numerical Runge-Kutta-Fehlberg fourth-fifth-order method. It is found that the OHAM solution agrees well with numerical as well as published data for different assigned values of parameters; this thus indicates the feasibility of the proposed method (OHAM).…”
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On a New Reliable Algorithm by A. K. Alomari, M. S. M. Noorani, R. Nazar

“…Comparisons between the MSHAM solutions and the fourth-order Runge-Kutta (RK4) numerical solutions reveal that the new technique is a promising tool for the nonlinear systems of ordinary differential equations.…”
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Simulation and Dynamic Response Analysis of Gear Nonlinear System by Xiao Weizhong, Chen Haixu, Yan Shidang, Zhi Yanfeng, Yu Feipeng

“…Considering the factors such as complex alternating load,meshing stiffness,meshing clearance,manufacturing and installation errors,the nonlinear multi-degree-of-freedom dynamics model of the clearance between the gear pair of the bridge crane reducer under complex excitation is established. By using the Runge-Kutta method of MATLAB/Simulink,the simulation solution of the nonlinear dynamic model of gear clearance is carried out. …”
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A Galerkin Finite Element Method for Numerical Solutions of the Modified Regularized Long Wave Equation by Liquan Mei, Yali Gao, Zhangxin Chen

“…A Galerkin method for a modified regularized long wave equation is studied using finite elements in space, the Crank-Nicolson scheme, and the Runge-Kutta scheme in time. In addition, an extrapolation technique is used to transform a nonlinear system into a linear system in order to improve the time accuracy of this method. …”
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