Fourth-Order Runge-Kutta Method - Articles - Scientific Research Publishing

Numerical Treatment of Initial Value Problems of Nonlinear Ordinary Differential Equations by Duan-Rach-Wazwaz Modified Adomian Decomposition Method (Articles)

Ömür Umut, Serpil Yaşar

International Journal of Modern Nonlinear Theory and Application Vol.8 No.1, February 1, 2019

DOI: 10.4236/ijmnta.2019.81002 1,966 Downloads 4,534 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 8,288 Downloads 14,454 Views Citations
New Fourth Order Iterative Methods Second Derivative Free (Articles)

Osama Y. Ababneh

Journal of Applied Mathematics and Physics Vol.4 No.3, March 23, 2016

DOI: 10.4236/jamp.2016.43058 2,863 Downloads 4,580 Views Citations
High Accurate Fourth-Order Finite Difference Solutions of the Three Dimensional Poisson’s Equation in Cylindrical Coordinate (Articles)

Alemayehu Shiferaw, Ramesh Chand Mittal

American Journal of Computational Mathematics Vol.4 No.2, March 21, 2014

DOI: 10.4236/ajcm.2014.42007 5,692 Downloads 8,378 Views Citations
An Accurate Five Off-Step Points Implicit Block Method for Direct Solution of Fourth Order Differential Equations (Articles)

Monday Kolawole Duromola

Open Access Library Journal Vol.3 No.6, June 23, 2016

DOI: 10.4236/oalib.1102667 1,273 Downloads 2,925 Views Citations
Higher Order Implicit Scheme for Nonlinear Time-Dependent Convection-Diffusion- Reaction Equation (Articles)

Uzair Ahmed, Daoud Suleiman Mashat, Dalal Adnan Maturi

American Journal of Computational Mathematics Vol.12 No.2, June 10, 2022

DOI: 10.4236/ajcm.2022.122014 281 Downloads 1,356 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 9,169 Downloads 16,036 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 8,112 Downloads 14,039 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 4,398 Downloads 6,520 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 5,902 Downloads 10,586 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 5,013 Downloads 6,945 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 880 Downloads 2,081 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 276 Downloads 1,296 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 1,150 Downloads 6,395 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 492 Downloads 2,592 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 514 Downloads 4,252 Views Citations
The Basic (G'/G)-Expansion Method for the Fourth Order Boussinesq Equation (Articles)

Hasibun Naher, Farah Aini Abdullah

Applied Mathematics Vol.3 No.10, October 11, 2012

DOI: 10.4236/am.2012.310168 57,792 Downloads 144,571 Views Citations
The Finite Volume Element Method for Time-Fractional Nonlinear Fourth-Order Diffusion Equation with Time Delay (Articles)

Anran Li, Qing Yang

Engineering Vol.17 No.1, January 21, 2025

DOI: 10.4236/eng.2025.171004 137 Downloads 725 Views Citations
An Adaptive Least-Squares Mixed Finite Element Method for Fourth Order Parabolic Problems (Articles)

Ning Chen, Haiming Gu

Applied Mathematics Vol.4 No.4, April 29, 2013

DOI: 10.4236/am.2013.44092 5,266 Downloads 8,052 Views Citations
Analysis of Gray Scott’s Model Numerically (Articles)

Ahmed Abdulrahim Ahmed Amin, Daoud Suleiman Mashat

American Journal of Computational Mathematics Vol.11 No.4, December 10, 2021

DOI: 10.4236/ajcm.2021.114018 433 Downloads 2,357 Views Citations

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