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ISSN
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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
9,094
Downloads
14,995
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
3,389
Downloads
6,289
Views
Citations
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
389
Downloads
994
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
3,494
Downloads
5,349
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
465
Downloads
1,063
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
10,718
Downloads
21,504
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
4,419
Downloads
6,867
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
4,707
Downloads
5,815
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
298
Downloads
1,795
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
380
Downloads
3,115
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
26
Downloads
147
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
3,884
Downloads
5,026
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
5,888
Downloads
11,111
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
5,481
Downloads
8,839
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
7,543
Downloads
12,308
Views
Citations
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
3,820
Downloads
5,058
Views
Citations
Stability and Regularization Method for Inverse Initial Value Problem of Biparabolic Equation
(Articles)
Hongwu Zhang
,
Xiaoju Zhang
Open Access Library Journal
Vol.2 No.5
,May 14, 2015
DOI:
10.4236/oalib.1101542
1,517
Downloads
2,345
Views
Citations
A New Algorithm Based on Differential Transform Method for Solving Partial Differential Equation System with Initial and Boundary Conditions
(Articles)
Chenlu Huang
,
Jiwei Li
,
Fali Lin
Advances in Pure Mathematics
Vol.10 No.5
,May 25, 2020
DOI:
10.4236/apm.2020.105020
1,190
Downloads
4,123
Views
Citations
Mathematical Study of Medicine Propagation in Biological Tissue and Some of Its Applications
(Articles)
N. G. Gulko
,
I. T. Selezov
,
R. I. Volinsky
Journal of Applied Mathematics and Physics
Vol.9 No.1
,January 26, 2021
DOI:
10.4236/jamp.2021.91009
318
Downloads
915
Views
Citations
A Modified Transitional Korteweg-De Vries Equation: Posed in the Quarter Plane
(Articles)
Charles Bu
Journal of Applied Mathematics and Physics
Vol.12 No.7
,July 31, 2024
DOI:
10.4236/jamp.2024.127160
74
Downloads
247
Views
Citations
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