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 8,258 Downloads 14,355 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 2,508 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 490 Downloads 4,129 Views Citations
Lyapunov-Based Stability and Numerical Convergence in a Nonlinear Cardiac Oscillator Model (Articles)

Ifeoma Deborah Omoko, Philip Danso, Clement Tayie, Samuel Mensah, Michael Fosu

Journal of Applied Mathematics and Physics Vol.14 No.1, January 27, 2026

DOI: 10.4236/jamp.2026.141018 48 Downloads 281 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 5,174 Downloads 10,885 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 379 Downloads 1,460 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 719 Downloads 1,939 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 853 Downloads 2,452 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 5,693 Downloads 9,630 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 10,524 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 1,249 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 989 Downloads 2,488 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 739 Downloads 1,877 Views Citations
This article belongs to the Special Issue on Research on Chromatographic Analysis
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 105 Downloads 566 Views Citations
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 1,376 Downloads 2,954 Views Citations
Nonlinear Propagation of Coupled Pulses in Birefringent Optical Fibers (Articles)

Mathurin Fomekong, Marcelle Nina Zambo Abou’ou, Oriel Loh Ndichia, Jean Roger Bogning

Journal of Applied Mathematics and Physics Vol.13 No.10, October 30, 2025

DOI: 10.4236/jamp.2025.1310194 59 Downloads 348 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 5,894 Downloads 9,228 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 6,852 Downloads 11,373 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 3,186 Downloads 4,500 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 3,938 Downloads 6,169 Views Citations
This article belongs to the Special Issue on Fractional Differential, Integral and Integro-Differential Equations Research

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