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Verification of an Explicitly Coupled Thermal-Phase Field-Mechanical Electromagnetic (TPME) Framework by the Method of Manufactured Solutions
(Articles)
Travis S. Ramsay
Open Journal of Modelling and Simulation
Vol.9 No.1
,December 10, 2020
DOI:
10.4236/ojmsi.2021.91001
263
Downloads
716
Views
Citations
Homotopy Analysis Method for Equations of the Type Δ
2
=b(x,y) and Δ
2
u=b(x,y,u)
(Articles)
Selcuk Yildirim
Journal of Applied Mathematics and Physics
Vol.3 No.4
,April 20, 2015
DOI:
10.4236/jamp.2015.34049
3,431
Downloads
4,833
Views
Citations
Exact Solutions of Gardner Equations through tanh-coth Method
(Articles)
Lin Lin
,
Shiyong Zhu
,
Yinkang Xu
,
Yubing Shi
Applied Mathematics
Vol.7 No.18
,December 22, 2016
DOI:
10.4236/am.2016.718186
2,226
Downloads
3,985
Views
Citations
Using a New Auxiliary Equation to Construct Abundant Solutions for Nonlinear Evolution Equations
(Articles)
Yifan Liu
,
Guojiang Wu
Journal of Applied Mathematics and Physics
Vol.9 No.12
,December 28, 2021
DOI:
10.4236/jamp.2021.912206
138
Downloads
764
Views
Citations
Simplified Homogeneous Balance Method and Its Applications to the Whitham-Broer-Kaup Model Equations
(Articles)
Mingliang Wang
,
Xiangzheng Li
Journal of Applied Mathematics and Physics
Vol.2 No.8
,July 21, 2014
DOI:
10.4236/jamp.2014.28091
2,870
Downloads
4,090
Views
Citations
Multiple Solutions for a Class of Concave-Convex Quasilinear Elliptic Systems with Nonlinear Boundary Condition
(Articles)
Li Wang
Applied Mathematics
Vol.4 No.3
,March 21, 2013
DOI:
10.4236/am.2013.43067
5,513
Downloads
11,737
Views
Citations
New Exact Explicit Solutions of the Generalized Zakharov Equation via the First Integral Method
(Articles)
Yuhuai Sun
,
Hanlei Hu
,
Jian Zhang
Open Journal of Applied Sciences
Vol.4 No.5
,April 17, 2014
DOI:
10.4236/ojapps.2014.45025
3,492
Downloads
5,369
Views
Citations
Absorption Spectroscopic Determination of Solubility of Alloxazine in Aqueous Solutions
(Articles)
Alfons Penzkofer
Journal of Analytical Sciences, Methods and Instrumentation
Vol.5 No.2
,June 11, 2015
DOI:
10.4236/jasmi.2015.52002
3,927
Downloads
4,986
Views
Citations
Result on the Convergence Behavior of Solutions of Certain System of Third-Order Nonlinear Differential Equations
(Articles)
Akinwale L. Olutimo
Int'l J. of Modern Nonlinear Theory and Application
Vol.5 No.1
,March 7, 2016
DOI:
10.4236/ijmnta.2016.51005
2,689
Downloads
3,590
Views
Citations
Augmented Lagrangian Methods for Numerical Solutions to Higher Order Differential Equations
(Articles)
Xuefeng Li
Journal of Applied Mathematics and Physics
Vol.5 No.2
,February 15, 2017
DOI:
10.4236/jamp.2017.52021
1,352
Downloads
2,667
Views
Citations
Stability Analysis of Periodic Solutions of Some Duffing’s Equations
(Articles)
E. O. Eze
,
U. E. Obasi
,
E. U. Agwu
Open Journal of Applied Sciences
Vol.9 No.4
,April 23, 2019
DOI:
10.4236/ojapps.2019.94017
1,272
Downloads
2,892
Views
Citations
Quasi-Exactly Solvable Differential Models: A Canonical Polynomials Approach
(Articles)
Mohamad K. El-Daou
,
Talal H. AlZanki
,
Nadia S. Al-Mutawa
American Journal of Computational Mathematics
Vol.9 No.2
,May 30, 2019
DOI:
10.4236/ajcm.2019.92004
673
Downloads
1,367
Views
Citations
Exact Solutions of Two Nonlinear Partial Differential Equations by the First Integral Method
(Articles)
Qingmei Zhang
,
Mei Xiong
,
Longwei Chen
Advances in Pure Mathematics
Vol.10 No.1
,January 16, 2020
DOI:
10.4236/apm.2020.101002
1,068
Downloads
2,728
Views
Citations
Homotopy Analysis Method for a Conservative Nonlinear Oscillator with Fractional Power
(Articles)
Huaxiong Chen
,
Yanyan Wang
Journal of Applied Mathematics and Physics
Vol.9 No.1
,January 6, 2021
DOI:
10.4236/jamp.2021.91004
396
Downloads
1,117
Views
Citations
Exact Traveling Wave Solutions of Nonlinear PDEs in Mathematical Physics
(Articles)
Jameel F. Alzaidy
Applied Mathematics
Vol.3 No.7
,June 19, 2012
DOI:
10.4236/am.2012.37109
4,557
Downloads
8,361
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
800
Downloads
1,644
Views
Citations
Comparative Studies between Picard’s and Taylor’s Methods of Numerical Solutions of First Ordinary Order Differential Equations Arising from Real-Life Problems
(Articles)
Khalid Abd Elrazig Awad Alla Elnour
Journal of Applied Mathematics and Physics
Vol.12 No.3
,March 29, 2024
DOI:
10.4236/jamp.2024.123055
32
Downloads
111
Views
Citations
General Solution of Generalized (2+1)–Dimensional Kadomtsev-Petviashvili (KP) Equation by Using the –Expansion Method
(Articles)
Abdollah Borhanifar
,
Reza Abazari
American Journal of Computational Mathematics
Vol.1 No.4
,December 9, 2011
DOI:
10.4236/ajcm.2011.14025
5,282
Downloads
9,898
Views
Citations
Exact Traveling Wave Solutions for the System of Shallow Water Wave Equations and Modified Liouville Equation Using Extended Jacobian Elliptic Function Expansion Method
(Articles)
Emad H. M. Zahran
,
Mostafa M. A. Khater
American Journal of Computational Mathematics
Vol.4 No.5
,December 25, 2014
DOI:
10.4236/ajcm.2014.45038
4,525
Downloads
5,718
Views
Citations
Exact Traveling Wave Solutions for the (1 + 1)-Dimensional Compound KdVB Equation via the Novel (G'/G)-Expansion Method
(Articles)
Md. Nur Alam
,
Fethi Bin Muhammad Belgacem
Int'l J. of Modern Nonlinear Theory and Application
Vol.5 No.1
,March 3, 2016
DOI:
10.4236/ijmnta.2016.51003
3,460
Downloads
4,605
Views
Citations
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