The Survivin −31 Snp in Human Colorectal Cancer Correlates with Survivin Splice Variant Expression and Improved Overall Survival by Anna G. Antonacopoulou, Konstantina Floratou, Vasiliki Bravou, Anastasia Kottorou, Fotinos-Ioannis Dimitrakopoulos, Stella Marousi, Michalis Stavropoulos, Agelos K. Koutras, Chrisoula D. Scopa, Haralabos P. Kalofonos

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Adaptation of Differential Transform Method for the Numeric-Analytic Solution of Fractional-Order Rössler Chaotic and Hyperchaotic Systems by Asad Freihat, Shaher Momani

“…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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In Situ Bioremediation of Crude Petroleum Oil Polluted Soil Using Mathematical Experimentation by Modupe Elizabeth Ojewumi, Moses Eterigho Emetere, Damilola Elizabeth Babatunde, Joshua Olusegun Okeniyi

“…The resultant system of ODE was solved using fourth-order Runge-Kutta method. The simulated data gave a good agreement with experimental data.…”
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Approximate Prediction-Based Control Method for Nonlinear Oscillatory Systems with Applications to Chaotic Systems by Thiago P. Chagas, Pierre-Alexandre Bliman, Karl H. Kienitz

“…The method is based on estimating future states of the free system response of continuous-time systems using the solution from the Runge-Kutta implicit method in real time. Some aspects of aPBC are evaluated in the present work, particularly its robustness to low future states estimation precision is exemplified.…”
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HSV-1 Encephalitis: High Index of Clinical Suspicion, Prompt Diagnosis, and Early Therapeutic Intervention Are the Triptych of Success—Report of Two Cases and Comprehensive Review... by Dimitrios Patoulias, Georgios Gavriiloglou, Konstantinos Kontotasios, Mairi Tzakri, Petros Keryttopoulos, Christos Koutras

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Analysis of the Bifurcation and Theory Vibration of the Gear Transmission System based on the MATLAB by Liu Jiangnan, Su Dian, Gong Youfa

“…With the help of the mathematical software MATLAB,the gear dynamics equation constructed by using the Runge- kutta method is solved,the dynamics response curve is got,and the bifurcation and stability of the gear transmission system under different excitation frequency are analyzed. …”
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Comparison of Optimal Homotopy Asymptotic and Adomian Decomposition Methods for a Thin Film Flow of a Third Grade Fluid on a Moving Belt by Fazle Mabood, Nopparat Pochai

“…The variation of velocity profile for different parameters is compared with the numerical values obtained by Runge-Kutta Fehlberg fourth-fifth order method and with Adomian Decomposition Method (ADM). …”
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Analysis of the Electromechanical Coupling Vibration of Belt Drive Mechanism when the Motor Starting by Li Gaofeng

“…Taking the differential equation of the electromechanical coupling and bending and torsion nonlinear vibration of the belt drive mechanism which establishing according to the Lagrange- Maxwell equation as research object,by using the Runge Kutta method,the nonlinear characteristic of the electromechanical coupling system and the vibration characteristic in the state of the motor starting are analyzed,the phase diagram,time response,frequency spectrum and the axis trajectory are obtained. …”
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SİVİL TOPLUM ÖRGÜTLERİNİN SOSYAL MEDYA KULLANIMLARI: GREENPEACE TÜRKİYE FACEBOOK SAYFASI ÖRNEĞİ by Ezgi Saatçioğlu

“…Kullanıcı etkileşimleri söz konusu olduğunda en çok “Kuzey Kutbu”, en az “Moda Detoksu” konuları ile etkileşim kurmaktadırlar. …”
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Methali Kama Kielezo Cha Shughuli Katika Jamii Ya Wahororo/ Wakiga Wilayani Rukungiri Nchini Uganda. by Nahurira, Ronnet

“…Wahojiwa wazazi walitumiwa katika utafiti huu wakati wa kutoa data, walisaidia katika kutoa data kuhusu shughuli zinazoelezwa na methali pamoja na mifano ya methali zinazoeleza shughuli hizo. …”
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Two-Dimensional and Axisymmetric Unsteady Flows due to Normally Expanding or Contracting Parallel Plates by Saeed Dinarvand, Abed Moradi

“…The validity of our solutions is verified by the numerical results obtained by shooting method, coupled with Runge-Kutta scheme.…”
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A Numerical Comparison for a Discrete HIV Infection of CD4+ T-Cell Model Derived from Nonstandard Numerical Scheme by Mevlüde Yakıt Ongun, İlkem Turhan

“…This proposed nonstandard numerical scheme is compared with the classical explicit Euler and fourth order Runge-Kutta methods. To show the efficiency of this numerical scheme, the simulated results are given in tables and figures.…”
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A Legendre Wavelet Spectral Collocation Method for Solving Oscillatory Initial Value Problems by A. Karimi Dizicheh, F. Ismail, M. Tavassoli Kajani, Mohammad Maleki

“…The proposed method is illustrated by some numerical examples, and the result is compared with the exponentially fitted Runge-Kutta method. Our proposed method is simple and highly accurate.…”
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Electromagnetic Gyroscopic Motion by A. I. Ismail, T. S. Amer, S. A. El Banna, M. A. El-Ameen

“…Computer programs are carried out to integrate the attained quasilinear autonomous system using a fourth-order Runge-Kutta method. A comparison between the obtained analytical solutions and the numerical ones is investigated to calculate the errors between them.…”
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STUDY ON MULTI-COEXISTING ATTRACTORS FOR TWO-DOF COLLISION SYSTEMS WITH NONLINEAR CONSTRAINTS (MT) by ZHU XiFeng, MA Shuo, WANG JianFeng

“…The hysteresis region and distribution of the system are studied by using the 4-order Runge-Kutta numerical algorithm and multi-parameter co-simulation method. …”
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Solving Hyperchaotic Systems Using the Spectral Relaxation Method by S. S. Motsa, P. G. Dlamini, M. Khumalo

“…To demonstrate the performance of the method, results are presented in tables and diagrams and compared to results obtained using a Runge-Kutta-(4,5)-based MATLAB solver, ode45, and other previously published results.…”
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On the Approximate Analytical Solution to Non-Linear Oscillation Systems by Mahmoud Bayat, Iman Pakar

“…In the end, numerical comparisons are conducted between the results obtained by the Variational Approach and numerical solution using Runge-Kutta's [RK] algorithm to illustrate the effectiveness and convenience of the proposed methods.…”
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Investigation of kinetics, thermodynamics, and isotherms of the simultaneous removal of heavy metal ions by activated carbon from cypress fruit by Alaa M Al-Ma’abreh, Manal AlKhabbas, Samer Alawaideh, Samer Hasan Hussein-Al-Ali, Dareen A Hmedat, Gada Edris, Razan Ataallah Abuassaf, Mariam A Hamed

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Multistage Spectral Relaxation Method for Solving the Hyperchaotic Complex Systems by Hassan Saberi Nik, Paulo Rebelo

“…We compare this approach to the Runge-Kutta based ode45 solver to show that the MSRM gives accurate results.…”
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Free convective flow of a stratified fluid through a porous medium bounded by a vertical plane by H. K. Mondal, T. K. Chaudhury

“…Velocity distribution is also obtained for certain values of the parameters by integrating the coupled differential equations by Runge-Kutta method and compared with the analytical solution. …”
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