Second Order Initial Value Problem - Articles - Scientific Research Publishing

A New Eighth Order Implicit Block Algorithms for the Direct Solution of Second Order Ordinary Differential Equations (Articles)

Ademola M. Badmus

American Journal of Computational Mathematics Vol.4 No.4，September 29, 2014

DOI: 10.4236/ajcm.2014.44032 3,882 Downloads 5,289 Views Citations
Pointwise Estimates for Solutions to a System of Radiating Gas (Articles)

Shikuan Mao, Yongqin Liu

Int'l J. of Modern Nonlinear Theory and Application Vol.2 No.3，September 12, 2013

DOI: 10.4236/ijmnta.2013.23026 3,573 Downloads 5,541 Views Citations
Multi-Cuspon Solutions of the Wadati-Konno-Ichikawa Equation by Riemann-Hilbert Problem Method (Articles)

Youzhi Tu

Open Journal of Applied Sciences Vol.10 No.3，March 19, 2020

DOI: 10.4236/ojapps.2020.103008 533 Downloads 1,299 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

Int'l J. of Modern Nonlinear Theory and Application Vol.8 No.1，February 1, 2019

DOI: 10.4236/ijmnta.2019.81002 1,842 Downloads 4,185 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 663 Downloads 1,695 Views Citations
Recent Modifications of Adomian Decomposition Method for Initial Value Problem in Ordinary Differential Equations (Articles)

M. Almazmumy, F. A. Hendi, H. O. Bakodah, H. Alzumi

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

DOI: 10.4236/ajcm.2012.23030 10,808 Downloads 21,876 Views Citations
Numerical solutions of second order initial value problems of Bratu-type via optimal homotopy asymptotic method (Articles)

Mohamed Abdalla Darwish, Bothayna S. Kashkari

American Journal of Computational Mathematics Vol.4 No.2，March 20, 2014

DOI: 10.4236/ajcm.2014.42005 4,473 Downloads 7,075 Views Citations
Fractional Differential Equations with Initial Conditions at Inner Points in Banach Spaces (Articles)

Xiaoping Xu, Guangxian Wu, Qixiang Dong

Advances in Pure Mathematics Vol.5 No.14，December 7, 2015

DOI: 10.4236/apm.2015.514075 4,778 Downloads 6,040 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 379 Downloads 2,189 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 450 Downloads 3,702 Views Citations
Asymptotic Behavior of the Solution of the Initial Boundary Value Problem for a Boussı̇nesq Analog Equation (Articles)

Sherif Amirov, Hale Koyuncu, Orhan Amirov

Journal of Applied Mathematics and Physics Vol.13 No.4，April 3, 2025

DOI: 10.4236/jamp.2025.134052 51 Downloads 311 Views Citations
Study of Stability Analysis for a Class of Fourth Order Boundary Value Problems (Articles)

C. Bala Rama Krishna, P. S. Rama Chandra Rao

Applied Mathematics Vol.5 No.13，July 8, 2014

DOI: 10.4236/am.2014.513182 3,945 Downloads 5,267 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 845 Downloads 1,912 Views Citations
Solutions of Seventh Order Boundary Value Problems Using Ninth Degree Spline Functions and Comparison with Eighth Degree Spline Solutions (Articles)

Parcha Kalyani, Mihretu Nigatu Lemma

Journal of Applied Mathematics and Physics Vol.4 No.2，February 22, 2016

DOI: 10.4236/jamp.2016.42032 3,229 Downloads 4,957 Views Citations
Existence and Uniqueness of Positive Solutions for Fourth-Order Nonlinear Singular Sturm-Liouville Problems (Articles)

Ying He

Journal of Applied Mathematics and Physics Vol.2 No.9，August 26, 2014

DOI: 10.4236/jamp.2014.29099 5,133 Downloads 6,189 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 3,348 Downloads 4,989 Views Citations
On the Exponential Decay of Solutions for Some Kirchhoff-Type Modelling Equations with Strong Dissipation (Articles)

Yaojun Ye

Applied Mathematics Vol.1 No.6，December 27, 2010

DOI: 10.4236/am.2010.16070 6,032 Downloads 11,401 Views Citations
Time-Spectral Solution of Initial-Value Problems—Subdomain Approach (Articles)

Jan Scheffel, Ahmed A. Mirza

American Journal of Computational Mathematics Vol.2 No.2，June 21, 2012

DOI: 10.4236/ajcm.2012.22010 5,626 Downloads 9,139 Views Citations
A Spectral Method in Time for Initial-Value Problems (Articles)

Jan Scheffel

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

DOI: 10.4236/ajcm.2012.23023 7,624 Downloads 12,637 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 9,412 Downloads 15,813 Views Citations

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