Runge-Kutta Methods - Articles - Scientific Research Publishing

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 2,799 Downloads 4,014 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 873 Downloads 2,040 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 273 Downloads 1,248 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 469 Downloads 2,503 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 489 Downloads 4,123 Views Citations
Extrapolation of GLMs with IRKS Property to Solve the Ordinary Differential Equations (Articles)

Ali J. Kadhim, Annie Gorgey

American Journal of Computational Mathematics Vol.9 No.4, December 6, 2019

DOI: 10.4236/ajcm.2019.94019 687 Downloads 1,545 Views Citations
Analysis on a Mathematical Model for Tumor Induced Angiogenesis (Articles)

Richard C. Ewool, Zachariah Sinkala

Journal of Applied Mathematics and Physics Vol.2 No.7, June 25, 2014

DOI: 10.4236/jamp.2014.27077 3,099 Downloads 4,687 Views Citations
A Block Procedure with Linear Multi-Step Methods Using Legendre Polynomials for Solving ODEs (Articles)

Khadijah M. Abualnaja

Applied Mathematics Vol.6 No.4, April 29, 2015

DOI: 10.4236/am.2015.64067 3,405 Downloads 5,179 Views Citations
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 4,344 Downloads 6,022 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 8,258 Downloads 14,353 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 7,123 Downloads 12,762 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 9,081 Downloads 15,887 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 8,058 Downloads 13,921 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 5,692 Downloads 9,625 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 4,374 Downloads 6,454 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 5,878 Downloads 10,520 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 6,840 Downloads 9,979 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 4,973 Downloads 6,864 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 320 Downloads 1,361 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 1,140 Downloads 6,323 Views Citations

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