Runge-Kutta - Articles - Scientific Research Publishing

On the Derivation and Implementation of a Four Stage Harmonic Explicit Runge-Kutta Method* (Articles)

Ashiribo Senapon Wusu, Moses Adebowale Akanbi, Bakre Omolara Fatimah

Applied Mathematics Vol.6 No.4，April 23, 2015

DOI: 10.4236/am.2015.64064 3,878 Downloads 5,096 Views Citations
An Algorithm to Optimize the Calculation of the Fourth Order Runge-Kutta Method Applied to the Numerical Integration of Kinetics Coupled Differential Equations (Articles)

Sadao Isotani, Walter Maigon Pontuschka, Seiji Isotani

Applied Mathematics Vol.3 No.11，November 7, 2012

DOI: 10.4236/am.2012.311218 7,393 Downloads 12,714 Views Citations
Stress Function of a Rotating Variable-Thickness Annular Disk Using Exact and Numerical Methods (Articles)

Ashraf M. Zenkour, Daoud S. Mashat

Engineering Vol.3 No.4，April 8, 2011

DOI: 10.4236/eng.2011.34048 6,571 Downloads 11,381 Views Citations
Stepsize Selection in Explicit Runge-Kutta Methods for Moderately Stiff Problems (Articles)

Justin Steven Calder Prentice

Applied Mathematics Vol.2 No.6，June 21, 2011

DOI: 10.4236/am.2011.26094 8,487 Downloads 14,597 Views Citations
Comparison between Analytical Solution and Experimental Setup of a Short Long Ytterbium Doped Fiber Laser (Articles)

M. R. A. Moghaddam, S. W. Harun, H. Ahmad

Optics and Photonics Journal Vol.2 No.2，June 28, 2012

DOI: 10.4236/opj.2012.22010 7,275 Downloads 12,892 Views Citations
Two Implicit Runge-Kutta Methods for Stochastic Differential Equation (Articles)

Fuwen Lu, Zhiyong Wang

Applied Mathematics Vol.3 No.10，October 12, 2012

DOI: 10.4236/am.2012.310162 5,195 Downloads 8,688 Views Citations
Runge-Kutta Schemes Coefficients Simulation for Comparison and Visual Effects (Articles)

Tajudeen Abiola Ogunniyi Salau, Olusegun Olufemi Ajide

Engineering Vol.5 No.5，May 23, 2013

DOI: 10.4236/eng.2013.55063 4,025 Downloads 5,657 Views Citations
The Differential Quadrature Solution of Reaction-Diffusion Equation Using Explicit and Implicit Numerical Schemes (Articles)

Mohamed Salah, R. M. Amer, M. S. Matbuly

Applied Mathematics Vol.5 No.3，February 7, 2014

DOI: 10.4236/am.2014.53033 5,481 Downloads 9,398 Views Citations
Numerical Simulation of Two-Dimensional Dendritic Growth Using Phase-Field Model (Articles)

Abdullah Shah, Ali Haider, Said Karim Shah

World Journal of Mechanics Vol.4 No.5，May 26, 2014

DOI: 10.4236/wjm.2014.45015 6,208 Downloads 8,482 Views Citations
Unconditionally Explicit Stable Difference Schemes for Solving Some Linear and Non-Linear Parabolic Differential Equation (Articles)

Masaharu Nakashima

Journal of Applied Mathematics and Physics Vol.3 No.11，November 27, 2015

DOI: 10.4236/jamp.2015.311176 2,552 Downloads 3,116 Views Citations
Design and Analysis of Some Third Order Explicit Almost Runge-Kutta Methods (Articles)

Abdulrahman Ndanusa, Khadeejah James Audu

Applied Mathematics Vol.7 No.1，January 14, 2016

DOI: 10.4236/am.2016.71002 4,685 Downloads 5,950 Views Citations
Comparison of Mathematical Methods to Obtain Concentration and Temperature of Newtonian Fluids in Tubular Reactors (Articles)

Diego Alves de Miranda, Renato Cristofolini, Emerson José Corazza, Gilson João dos Santos, Claiton Emilio do Amaral

Open Access Library Journal Vol.5 No.2，February 12, 2018

DOI: 10.4236/oalib.1104329 610 Downloads 1,179 Views Citations
The Pressure Control Strategy Adjustment of High-Pressure Oil Pipe (Articles)

Yeping Liang, Zhezhi Jin

Open Access Library Journal Vol.7 No.5，May 18, 2020

DOI: 10.4236/oalib.1106369 123 Downloads 614 Views Citations
Pressure Control of High Pressure Tubing (Articles)

Shilin Hu, Yu Quan

Open Access Library Journal Vol.7 No.5，May 19, 2020

DOI: 10.4236/oalib.1106351 149 Downloads 595 Views Citations
A New Mathematical Modeling of the COVID-19 Pandemic Including the Vaccination Campaign (Articles)

Mehmet Yavuz, Fatma Özlem Coşar, Fatma Günay, Feyza Nur Özdemir

Open Journal of Modelling and Simulation Vol.9 No.3，July 20, 2021

DOI: 10.4236/ojmsi.2021.93020 732 Downloads 4,385 Views Citations
Production of the Reduction Formula of Seventh Order Runge-Kutta Method with Step Size Control of an Ordinary Differential Equation (Articles)

Georgios D. Trikkaliotis, Maria Ch. Gousidou-Koutita

Applied Mathematics Vol.13 No.4，April 27, 2022

DOI: 10.4236/am.2022.134023 121 Downloads 680 Views Citations
Derivation of the Reduction Formula of Sixth Order and Seven Stages Runge-Kutta Method for the Solution of an Ordinary Differential Equation (Articles)

Georgios D. Trikkaliotis, Maria Ch. Gousidou-Koutita

Applied Mathematics Vol.13 No.4，April 27, 2022

DOI: 10.4236/am.2022.134024 134 Downloads 1,095 Views Citations
Solution of Modified Equations of Emden-Type by Differential Transform Method (Articles)

Supriya Mukherjee, Banamali Roy, Pratik Kumar Chatterjee

Journal of Modern Physics Vol.2 No.6，July 1, 2011

DOI: 10.4236/jmp.2011.26065 4,600 Downloads 9,661 Views Citations
Study on the Synergetic Mechanism for the Dynamic Evaluation of Electricity Market Operational Efficiency (Articles)

Chunjie Li, Li Yan, Huiru Zhao

Energy and Power Engineering Vol.3 No.3，July 29, 2011

DOI: 10.4236/epe.2011.33046 4,989 Downloads 7,638 Views Citations
Simulation and Analysis of Carrier Dynamics in the InAs/GaAs Quantum Dot Laser, Based upon Rate Equations (Articles)

Ahmadreza Daraei, Seyed Mohsen Izadyar, Naser Chenarani

Optics and Photonics Journal Vol.3 No.1，March 29, 2013

DOI: 10.4236/opj.2013.31018 5,580 Downloads 9,038 Views Citations

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