Reaction-Diffusion; Implicit Euler; Runge-Kutta; Differential Quadrature; Perturbation - Articles

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
An Efficient Method to Solve Thermal Wave Equation (Articles)

Mohamed Salah, R. M. Amer, M. S. Matbuly

Applied Mathematics Vol.5 No.3, February 13, 2014

DOI: 10.4236/am.2014.53052 4,372 Downloads 6,648 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
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
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
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
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
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 9,609 Downloads 16,376 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
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
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
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 4,345 Downloads 6,024 Views Citations
Analytical expression of concentrations of adsorbed CO molecules, O atoms and oxide oxygen (Articles)

Chinnasamy Thangapandi, Lakshmanan Rajendran

Natural Science Vol.5 No.3, March 26, 2013

DOI: 10.4236/ns.2013.53045 4,071 Downloads 6,614 Views Citations
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 1,903 Downloads 4,398 Views Citations
Numerical Simulation of Reaction-Diffusion Systems of Turing Pattern Formation (Articles)

Gendai Gu, Hongxiao Peng

International Journal of Modern Nonlinear Theory and Application Vol.4 No.4, November 12, 2015

DOI: 10.4236/ijmnta.2015.44016 6,174 Downloads 8,804 Views Citations
Analytical expression of non steady-state concentration profiles at planar electrode for the CE mechanism (Articles)

Vincent Michael Raj Margret PonRani, Lakshmanan Rajendren

Natural Science Vol.2 No.11, November 30, 2010

DOI: 10.4236/ns.2010.211160 5,606 Downloads 10,732 Views Citations
Approximate Solution of Non-Linear Reaction Diffusion Equations in Homogeneous Processes Coupled to Electrode Reactions for CE Mechanism at a Spherical Electrode (Articles)

A. Eswari, S. Usha, L. Rajendran

American Journal of Analytical Chemistry Vol.2 No.2, February 25, 2011

DOI: 10.4236/ajac.2011.22010 6,431 Downloads 11,694 Views Citations
Mathematical model for steady state current at ppo-modified micro-cylinder biosensors (Articles)

K. Venugopal, A. Eswari, L. Rajendran

Journal of Biomedical Science and Engineering Vol.4 No.9, September 30, 2011

DOI: 10.4236/jbise.2011.49079 4,504 Downloads 8,385 Views Citations
A Theoretical Model of pH-Based Potentiometric Biosensor Based on Immobilized Enzyme Membrane (Articles)

Jeganathan Saranya, Lakshmanan Rajendran, Mariappan Uma Maheswari

American Journal of Analytical Chemistry Vol.7 No.4, April 22, 2016

DOI: 10.4236/ajac.2016.74035 2,424 Downloads 4,059 Views Citations

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