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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
3,110
Downloads
4,382
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
8,680
Downloads
13,939
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
3,307
Downloads
5,951
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
1,418
Downloads
2,107
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
1,115
Downloads
2,235
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
812
Downloads
1,533
Views
Citations
Optimizing Time-Spectral Solution of Initial-Value Problems
(Articles)
J. Scheffel
,
K. Lindvall
American Journal of Computational Mathematics
Vol.8 No.1
,March 9, 2018
DOI:
10.4236/ajcm.2018.81002
800
Downloads
1,432
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
717
Downloads
1,518
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
827
Downloads
2,393
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
332
Downloads
797
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
630
Downloads
1,253
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
1,052
Downloads
3,561
Views
Citations
Influence of Initial Value of Transient Time Step on Numerical Simulation of Blow Molding Balloon
(Articles)
Jinyao Bian
,
Guobao Jin
,
Peng Qin
,
Guanghui Dai
American Journal of Computational Mathematics
Vol.10 No.2
,June 23, 2020
DOI:
10.4236/ajcm.2020.102014
459
Downloads
1,025
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
244
Downloads
647
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
79
Downloads
314
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
6,592
Downloads
12,434
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
4,651
Downloads
9,286
Views
Citations
Impulse Spatial-Temporal Domains in Semiconductor Laser with Feedback
(Articles)
Igor B. Krasnyuk
Journal of Applied Mathematics and Physics
Vol.4 No.9
,September 27, 2016
DOI:
10.4236/jamp.2016.49180
1,073
Downloads
1,633
Views
Citations
Some Universal Properties of the Green’s Functions Associated with the Wave Equation in Bounded Partially-Homogeneous Domains and Their Use in Acoustic Tomography
(Articles)
Mithat Idemen
Applied Mathematics
Vol.8 No.4
,April 24, 2017
DOI:
10.4236/am.2017.84039
1,458
Downloads
2,400
Views
Citations
Construction of Global Weak Entropy Solution of Initial-Boundary Value Problem for Scalar Conservation Laws with Weak Discontinuous Flux
(Articles)
Yihong Dai
,
Jing Zhang
American Journal of Computational Mathematics
Vol.7 No.4
,December 14, 2017
DOI:
10.4236/ajcm.2017.74033
810
Downloads
1,489
Views
Citations
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