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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
3,098
Downloads
4,500
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
8,638
Downloads
15,219
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
3,299
Downloads
6,126
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
1,415
Downloads
2,229
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
1,112
Downloads
2,300
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
804
Downloads
1,655
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
793
Downloads
1,514
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
714
Downloads
1,616
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
818
Downloads
2,616
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
327
Downloads
845
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
626
Downloads
1,336
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
1,032
Downloads
3,969
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
455
Downloads
1,095
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
235
Downloads
682
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
76
Downloads
345
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
6,572
Downloads
12,559
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
4,645
Downloads
9,439
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
1,655
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
1,452
Downloads
2,455
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
800
Downloads
1,540
Views
Citations
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