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   3,474 Downloads  4,160 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   6,938 Downloads  11,335 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   6,163 Downloads  10,510 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   8,179 Downloads  13,874 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   6,535 Downloads  11,423 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   4,824 Downloads  7,824 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   3,796 Downloads  5,212 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   5,275 Downloads  8,866 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   5,727 Downloads  7,294 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   2,393 Downloads  2,755 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   4,403 Downloads  5,213 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   514 Downloads  815 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   48 Downloads  144 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   87 Downloads  225 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   4,362 Downloads  9,114 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   4,803 Downloads  7,327 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   5,137 Downloads  8,142 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   2,544 Downloads  3,499 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   2,749 Downloads  3,541 Views  Citations

A Comparative Study on Numerical Solutions of Initial Value Problems (IVP) for Ordinary Differential Equations (ODE) with Euler and Runge Kutta Methods (Articles)

Md. Amirul Islam

American Journal of Computational Mathematics Vol.5 No.3，September 25, 2015

DOI: 10.4236/ajcm.2015.53034   6,809 Downloads  10,230 Views  Citations