Nonlinear Ordinary Differential Equation - Articles

An Approach to Parallel Simulation of Ordinary Differential Equations (Articles)

Joshua D. Carl, Gautam Biswas

Journal of Software Engineering and Applications Vol.9 No.5，May 31, 2016

DOI: 10.4236/jsea.2016.95019 2,468 Downloads 4,233 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 309 Downloads 1,849 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 401 Downloads 3,208 Views Citations
Mean Square Solutions of Second-Order Random Differential Equations by Using the Differential Transformation Method (Articles)

Ayad R. Khudair, S. A. M. Haddad, Sanaa L. Khalaf

Open Journal of Applied Sciences Vol.6 No.4，April 28, 2016

DOI: 10.4236/ojapps.2016.64028 2,615 Downloads 3,970 Views Citations
An Inequality for Second Order Differential Equation with Retarded Argument (Articles)

Erdoğan Şen

Advances in Pure Mathematics Vol.1 No.4，July 28, 2011

DOI: 10.4236/apm.2011.14043 5,349 Downloads 11,009 Views Citations
A Closed Form Solution to a Special Normal Form of Riccati Equation (Articles)

Haiduke Sarafian

Advances in Pure Mathematics Vol.1 No.5，September 21, 2011

DOI: 10.4236/apm.2011.15053 4,525 Downloads 9,323 Views Citations
A Control Method for SVG Based on Differential Geometry Nonlinear Control (Articles)

Qiyong Pan, Jin Wu, Yi-huai Wang, Jingfei Ni, Shan Zhong

Energy and Power Engineering Vol.3 No.3，July 27, 2011

DOI: 10.4236/epe.2011.33034 5,172 Downloads 8,564 Views Citations
Solution of Nonlinear Integro Differential Equations by Two-Step Adomian Decomposition Method (TSAM) (Articles)

Maryam Al-Mazmumy, Safa O. Almuhalbedi

Int'l J. of Modern Nonlinear Theory and Application Vol.5 No.4，December 16, 2016

DOI: 10.4236/ijmnta.2016.54022 1,948 Downloads 4,256 Views Citations
Remarks on the Solution of Laplace’s Differential Equation and Fractional Differential Equation of That Type (Articles)

Tohru Morita, Ken-ichi Sato

Applied Mathematics Vol.4 No.11A，October 31, 2013

DOI: 10.4236/am.2013.411A1003 4,951 Downloads 7,292 Views Citations
This article belongs to the Special Issue on Functional Analysis
Solution of Laplace’s Differential Equation and Fractional Differential Equation of That Type (Articles)

Tohru Morita, Ken-ichi Sato

Applied Mathematics Vol.4 No.11A，October 31, 2013

DOI: 10.4236/am.2013.411A1005 5,118 Downloads 8,208 Views Citations
This article belongs to the Special Issue on Functional Analysis
On Existence of Entropy Solution for a Doubly Nonlinear Differential Equation with L¹ -Data (Articles)

Safimba Soma, Mohamed Bance

Journal of Applied Mathematics and Physics Vol.11 No.12，December 29, 2023

DOI: 10.4236/jamp.2023.1112261 150 Downloads 493 Views Citations
Numerical Solution of Functional Integral and Integro-Differential Equations by Using B-Splines (Articles)

Hesam-Eldien Derili Gherjalar, Hossein Mohammadikia

Applied Mathematics Vol.3 No.12，December 17, 2012

DOI: 10.4236/am.2012.312265 5,363 Downloads 8,960 Views Citations
Differential Calculus the Study of the Growth and Decay of an Entity’s Population (Articles)

Lansana Toure, Mouctar Ndiaye

Journal of Applied Mathematics and Physics Vol.11 No.9，September 27, 2023

DOI: 10.4236/jamp.2023.119173 136 Downloads 1,151 Views Citations
This article belongs to the Special Issue on Mathematical Physical Model and Method
On the Spectra of General Ordinary Quasi-Differential Operators and Their L²_w-Solutions (Articles)

Sobhy El-Sayed Ibrahim

Advances in Pure Mathematics Vol.12 No.3，March 21, 2022

DOI: 10.4236/apm.2022.123016 196 Downloads 628 Views Citations
The Differential Transform (Articles)

Eng. Mahmoud Abu Hilal

Journal of Applied Mathematics and Physics Vol.9 No.8，August 25, 2021

DOI: 10.4236/jamp.2021.98129 361 Downloads 3,195 Views Citations
Several New Types of Fixed Point Theorems and Their Applications to Two-Point Ordinary Differential Equations (Articles)

Congjun Zhang, Jinlu Li, Yan Zhang, Xiaoliang Feng

Applied Mathematics Vol.3 No.10，October 11, 2012

DOI: 10.4236/am.2012.310163 4,682 Downloads 9,269 Views Citations
Construction of Periodic Solutions of One Class Nonautonomous Systems of Differential Equations (Articles)

Alexander N. Pchelintsev

Journal of Applied Mathematics and Physics Vol.1 No.3，August 23, 2013

DOI: 10.4236/jamp.2013.13001 3,863 Downloads 8,346 Views Citations
The Factorizational Theory of Finite Asymptotic Expansions in the Real Domain: A Survey of the Main Results (Articles)

Antonio Granata

Advances in Pure Mathematics Vol.5 No.1，January 12, 2015

DOI: 10.4236/apm.2015.51001 3,599 Downloads 4,374 Views Citations
This article belongs to the Special Issue on Asymptotic Methods
Analytic Theory of Finite Asymptotic Expansions in the Real Domain. Part II-A: The Factorizational Theory for Chebyshev Asymptotic Scales (Articles)

Antonio Granata

Advances in Pure Mathematics Vol.5 No.8，June 30, 2015

DOI: 10.4236/apm.2015.58045 4,910 Downloads 5,726 Views Citations
Analytic Theory of Finite Asymptotic Expansions in the Real Domain. Part II-B: Solutions of Differential Inequalities and Asymptotic Admissibility of Standard Derivatives (Articles)

Antonio Granata

Advances in Pure Mathematics Vol.5 No.8，June 30, 2015

DOI: 10.4236/apm.2015.58046 5,208 Downloads 5,966 Views Citations

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