Initial Value Problems IVP - Articles - Scientific Research Publishing

Numerical Integration of Forced and Damped Oscillators through a New Multistep Method (Articles)

M. Cortés-Molina, F. García-Alonso, J. A. Reyes

Journal of Applied Mathematics and Physics Vol.7 No.10, October 23, 2019

DOI: 10.4236/jamp.2019.710165 555 Downloads 1,546 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 9,680 Downloads 16,520 Views Citations
Tau-Collocation Approximation Approach for Solving First and Second Order Ordinary Differential Equations (Articles)

James E. Mamadu, Ignatius N. Njoseh

Journal of Applied Mathematics and Physics Vol.4 No.2, February 26, 2016

DOI: 10.4236/jamp.2016.42045 3,568 Downloads 6,946 Views Citations
Two Initial Value Problems Approach for Solving Singular Perturbations Problems (Articles)

Awoke Andargie, Yanala Narsimha Reddy

American Journal of Computational Mathematics Vol.2 No.3, September 28, 2012

DOI: 10.4236/ajcm.2012.23027 5,271 Downloads 9,280 Views Citations
Mathematical modelling of a biofilm: The Adomian decomposition method (Articles)

Subramanian Muthukaruppan, Alagu Eswari, Lakshmanan Rajendran

Natural Science Vol.5 No.4, April 19, 2013

DOI: 10.4236/ns.2013.54059 4,383 Downloads 7,724 Views Citations
A Three-Stage Multiderivative Explicit Runge-Kutta Method (Articles)

Ashiribo Senapon Wusu, Moses Adebowale Akanbi, Solomon Adebola Okunuga

American Journal of Computational Mathematics Vol.3 No.2, June 24, 2013

DOI: 10.4236/ajcm.2013.32020 6,443 Downloads 11,342 Views Citations
An Explicit Single-Step Nonlinear Numerical Method for First Order Initial Value Problems (IVPs) (Articles)

Omolara Fatimah Bakre, Ashiribo Senapon Wusu, Moses Adebowale Akanbi

Journal of Applied Mathematics and Physics Vol.8 No.9, September 3, 2020

DOI: 10.4236/jamp.2020.89130 749 Downloads 1,960 Views Citations
Consistency and Stability Issues in the Numerical Integration of the First and Second Order Initial Value Problem (Articles)

Isaac Fried

Applied Mathematics Vol.10 No.8, August 21, 2019

DOI: 10.4236/am.2019.108048 890 Downloads 2,114 Views Citations
Application of the Hybrid Differential Transform Method to the Nonlinear Equations (Articles)

Inci Çilingir Süngü, Hüseyin Demir

Applied Mathematics Vol.3 No.3, March 27, 2012

DOI: 10.4236/am.2012.33039 6,035 Downloads 11,493 Views Citations
Analytical expressions of the concentrations of substrate and product in enzyme inhibition process (Articles)

Sankaranarayanan Muthukumar, Lakshmanan Rajendran

Natural Science Vol.5 No.9, September 2, 2013

DOI: 10.4236/ns.2013.59129 4,016 Downloads 6,529 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 3,448 Downloads 5,248 Views Citations
Stability Analysis of a Numerical Integrator for Solving First Order Ordinary Differential Equation (Articles)

Samuel Olukayode Ayinde, Adesoji Abraham Obayomi, Funmilayo Sarah Adebayo

Journal of Applied Mathematics and Physics Vol.5 No.11, November 16, 2017

DOI: 10.4236/jamp.2017.511179 1,271 Downloads 2,872 Views Citations
The G-functions Series Method Adapted to the Numerical Integration of Parabolic PDE (Articles)

Mónica Cortés-Molina, José Antonio Reyes, Fernando García-Alonso

Journal of Applied Mathematics and Physics Vol.6 No.1, January 18, 2018

DOI: 10.4236/jamp.2018.61016 1,021 Downloads 2,154 Views Citations
Proficiency of Second Derivative Schemes for the Numerical Solution of Stiff Systems (Articles)

James Adewale, Adesanya Olaide, Onsachi Oziohu, Sunday Joshua, Moses Omuya

American Journal of Computational Mathematics Vol.8 No.1, March 28, 2018

DOI: 10.4236/ajcm.2018.81008 931 Downloads 2,222 Views Citations
Homotopy Analysis Method for Solving Initial Value Problems of Second Order with Discontinuities (Articles)

Waleed Al-Hayani, Rasha Fahad

Applied Mathematics Vol.10 No.6, June 17, 2019

DOI: 10.4236/am.2019.106030 1,071 Downloads 3,740 Views Citations
On Trigonometric Numerical Integrator for Solving First Order Ordinary Differential Equation (Articles)

A. A. Obayomi, S. O. Ayinde, O. M. Ogunmiloro

Journal of Applied Mathematics and Physics Vol.7 No.11, November 5, 2019

DOI: 10.4236/jamp.2019.711175 825 Downloads 1,980 Views Citations
On the Application of Adomian Decomposition Method to Special Equations in Physical Sciences (Articles)

Aishah Alsulami, Mariam Al-Mazmumy, Huda Bakodah, Nawal Alzaid

American Journal of Computational Mathematics Vol.13 No.3, September 8, 2023

DOI: 10.4236/ajcm.2023.133022 259 Downloads 1,057 Views Citations
New Improved Variational Homotopy Perturbation Method for Bratu-Type Problems (Articles)

Olusola Ezekiel Abolarin

American Journal of Computational Mathematics Vol.3 No.2, June 24, 2013

DOI: 10.4236/ajcm.2013.32018 4,981 Downloads 8,768 Views Citations
Mean Square Numerical Methods for Initial Value Random Differential Equations (Articles)

Magdy A. El-Tawil, Mohammed A. Sohaly

Open Journal of Discrete Mathematics Vol.1 No.2, July 5, 2011

DOI: 10.4236/ojdm.2011.12009 6,926 Downloads 13,330 Views Citations
Operator Splitting Method for Coupled Problems:Transport and Maxwell Equations (Articles)

Jürgen Geiser

American Journal of Computational Mathematics Vol.1 No.3, September 19, 2011

DOI: 10.4236/ajcm.2011.13019 5,073 Downloads 10,264 Views Citations

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