Coupled Differential Equations; Runge-Kutta; Kinetics Equations - Articles

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 8,011 Downloads 13,686 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 299 Downloads 1,801 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 382 Downloads 3,131 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 4,849 Downloads 10,216 Views Citations
Explicit High-Order Method to Solve Coupled Nonlinear Schrödinger Equations (Articles)

Khadijah Alamoudi, Mohmmad Said Hammoudeh

Advances in Pure Mathematics Vol.11 No.5，May 25, 2021

DOI: 10.4236/apm.2021.115033 293 Downloads 1,134 Views Citations
Review on the Current Stochastic Numerical Methods for Econometric Analysis (Articles)

Lewis N. K. Mambo, Rostin M. M. Mabela, Jean-Pièrre B. Bosonga, Eugène M. Mbuyi

American Journal of Computational Mathematics Vol.9 No.4，December 26, 2019

DOI: 10.4236/ajcm.2019.94024 626 Downloads 1,490 Views Citations
Runge-Kutta Method and Bolck by Block Method to Solve Nonlinear Fredholm-Volterra Integral Equation with Continuous Kernel (Articles)

A. M. Al-Bugami, J. G. Al-Juaid

Journal of Applied Mathematics and Physics Vol.8 No.9，September 30, 2020

DOI: 10.4236/jamp.2020.89152 709 Downloads 1,942 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 5,487 Downloads 9,085 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 5,688 Downloads 9,973 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 216 Downloads 951 Views Citations
On the Stability Analysis of a Coupled Rigid Body (Articles)

Olaniyi S. Maliki, Victor O. Anozie

Applied Mathematics Vol.9 No.3，March 22, 2018

DOI: 10.4236/am.2018.93016 877 Downloads 1,970 Views Citations
New Exact Solutions for the Coupled Gross-Pitaevskii Equation (Articles)

Can Xu, Jianping Li, Junliang Lu

Applied Mathematics Vol.16 No.4，April 30, 2025

DOI: 10.4236/am.2025.164021 25 Downloads 129 Views Citations
Analytical Solution of the Non-Linear Equation in Biodegradation of N-Butanol in a Biofilter (Articles)

K. Saranya, V. Mohan, L. Rajendran

American Journal of Analytical Chemistry Vol.11 No.4，April 20, 2020

DOI: 10.4236/ajac.2020.114013 632 Downloads 1,454 Views Citations
This article belongs to the Special Issue on Research on Chromatographic Analysis
Existence of Solutions for Boundary Value Problems of Conformable Fractional Differential Equations (Articles)

Xingyue Jian

Journal of Applied Mathematics and Physics Vol.7 No.1，January 29, 2019

DOI: 10.4236/jamp.2019.71019 1,262 Downloads 2,554 Views Citations
Efficient Solutions of Coupled Matrix and Matrix Differential Equations (Articles)

Zeyad Al-Zhour

Intelligent Control and Automation Vol.3 No.2，May 23, 2012

DOI: 10.4236/ica.2012.32020 5,667 Downloads 8,678 Views Citations
Existence and Uniqueness of Positive Solutions for a Coupled System of Nonlinear Fractional Differential Equations (Articles)

Minjie Li, Yiliang Liu

Open Journal of Applied Sciences Vol.3 No.1B1，July 11, 2013

DOI: 10.4236/ojapps.2013.31B1011 6,547 Downloads 10,707 Views Citations
Positive Solutions for Systems of Coupled Fractional Boundary Value Problems (Articles)

Johnny Henderson, Rodica Luca, Alexandru Tudorache

Open Journal of Applied Sciences Vol.5 No.10，October 27, 2015

DOI: 10.4236/ojapps.2015.510059 3,088 Downloads 4,183 Views Citations
New Generalized (G'/G)-Expansion Method Applications to Coupled Konno-Oono Equation (Articles)

Md. Nur Alam, Fethi Bin Muhammad Belgacem

Advances in Pure Mathematics Vol.6 No.3，February 29, 2016

DOI: 10.4236/apm.2016.63014 3,783 Downloads 5,681 Views Citations
This article belongs to the Special Issue on Fractional Differential, Integral and Integro-Differential Equations Research
Numerical Solution of Nonlinear System of Partial Differential Equations by the Laplace Decomposition Method and the Pade Approximation (Articles)

Magdy Ahmed Mohamed, Mohamed Shibl Torky

American Journal of Computational Mathematics Vol.3 No.3，August 14, 2013

DOI: 10.4236/ajcm.2013.33026 7,497 Downloads 13,555 Views Citations
On the Meromorphic Solutions of Fermat-Type Differential Equations (Articles)

Dengfeng Liu, Biao Pan

Journal of Applied Mathematics and Physics Vol.10 No.9，September 30, 2022

DOI: 10.4236/jamp.2022.109188 150 Downloads 583 Views Citations
This article belongs to the Special Issue on Ordinary Differential Equations and Its Applications

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