The Characteristic Function Method; The Two-Layer Shallow-Water Equations; Gravity Currents - Articles

A Similarity Technique for Solving Two-Layer Shallow-Water Equations (Articles)

Magda M. Kassem, Medhat M. Helal, Mohammad L. Mekky, Emad A. Mohamed

Applied Mathematics Vol.3 No.4, April 27, 2012

DOI: 10.4236/am.2012.34047 4,650 Downloads 8,486 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 4,810 Downloads 6,360 Views Citations
Study of the 1D Saint-Venant Equations and Application to the Simulation of a Flood Problem (Articles)

Maman Yarodji Abdoul Kader, Rabé Badé, Bisso Saley

Journal of Applied Mathematics and Physics Vol.8 No.7, July 8, 2020

DOI: 10.4236/jamp.2020.87090 792 Downloads 4,052 Views Citations
This article belongs to the Special Issue on Numerical Simulation and Its Applications
Numerical Simulation of Nonlinear Surface Gravity Waves Transformation under Shallow-Water Conditions (Articles)

Iftikhar B. Abbasov

Applied Mathematics Vol.3 No.2, February 23, 2012

DOI: 10.4236/am.2012.32021 5,074 Downloads 9,366 Views Citations
Transformation of Nonlinear Surface Gravity Waves under Shallow-Water Conditions (Articles)

Iftikhar B. Abbasov

Applied Mathematics Vol.1 No.4, October 29, 2010

DOI: 10.4236/am.2010.14032 5,058 Downloads 9,773 Views Citations
Numerical Solution of the Rotating Shallow Water Flows with Topography Using the Fractional Steps Method (Articles)

Hossam S. Hassan, Khaled T. Ramadan, Sarwat N. Hanna

Applied Mathematics Vol.1 No.2, July 22, 2010

DOI: 10.4236/am.2010.12014 6,886 Downloads 13,150 Views Citations
Some New Nonlinear Wave Solutions for a Higher-Dimensional Shallow Water Wave Equation (Articles)

Longmin Dong, Zhu Guo, Yinghui He

Journal of Applied Mathematics and Physics Vol.8 No.9, September 18, 2020

DOI: 10.4236/jamp.2020.89139 654 Downloads 2,015 Views Citations
A Numerical Study of Riemann Problem Solutions for the Homogeneous One-Dimensional Shallow Water Equations (Articles)

Pavlos Stampolidis, Maria Ch. Gousidou-Koutita

Applied Mathematics Vol.15 No.11, November 21, 2024

DOI: 10.4236/am.2024.1511044 122 Downloads 831 Views Citations
Numerical Solution of Nonlinear System of Partial Differential Equations by the Laplace Decomposition Method and the Pade Approximation (Articles)

Magdy Ahmed Mohamed, Mohamed Shibl Torky

American Journal of Computational Mathematics Vol.3 No.3, August 14, 2013

DOI: 10.4236/ajcm.2013.33026 7,817 Downloads 14,216 Views Citations
Analytical Solution of Two Extended Model Equations for Shallow Water Waves By Adomian’S Decomposition Method (Articles)

Mehdi. Safari

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

DOI: 10.4236/apm.2011.14042 6,639 Downloads 12,910 Views Citations
Analytical Solution of Two Extended Model Equations for Shallow Water Waves by He’s Variational Iteration Method (Articles)

Mehdi Safari, Majid Safari

American Journal of Computational Mathematics Vol.1 No.4, December 9, 2011

DOI: 10.4236/ajcm.2011.14027 7,180 Downloads 11,914 Views Citations
The Characteristic Function Method and Its Application to (1 + 1)-Dimensional Dispersive Long Wave Equation (Articles)

Medhat M. Helal, Mohammad L. Mekky, Emad A. Mohamed

Applied Mathematics Vol.3 No.1, January 4, 2012

DOI: 10.4236/am.2012.31002 5,595 Downloads 10,966 Views Citations
Identification of Forerunners and Transmission of Energy to Tsunami Waves Generated by Instanteneous Ground Motion on a Non-Uniformly Sloping Beach (Articles)

Arghya Bandyopadhyay

International Journal of Geosciences Vol.4 No.2, March 29, 2013

DOI: 10.4236/ijg.2013.42042 3,359 Downloads 5,614 Views Citations
Numerical Simulation of Dam-Break Flows Using Radial Basis Functions: Application to Urban Flood Inundation (Articles)

Abdoulhafar Halassi Bacar, Said Charriffaini Rawhoudine

American Journal of Computational Mathematics Vol.14 No.3, September 20, 2024

DOI: 10.4236/ajcm.2024.143015 200 Downloads 863 Views Citations
ADER-WAF Schemes for the Homogeneous One-Dimensional Shallow Water Equations (Articles)

Pavlos Stampolidis, Maria Ch. Gousidou-Koutita

Applied Mathematics Vol.16 No.1, January 26, 2025

DOI: 10.4236/am.2025.161004 125 Downloads 712 Views Citations
Numerical Investigation of a UCN Source Based on Solid Deuterium by Combining a Simulation Code with an Analytical Approach (Articles)

Habib Mohammadi, Mohammad Mehdi Firoozabadi, Rouhollah Gheisari

Journal of Modern Physics Vol.5 No.17, November 14, 2014

DOI: 10.4236/jmp.2014.517179 5,725 Downloads 6,680 Views Citations
Expanding the Tanh-Function Method for Solving Nonlinear Equations (Articles)

Nassar Hassan Abdel-Aal, Mohamed Abdullah Abdel-Razek, Abdullah Kamel Seddeek

Applied Mathematics Vol.2 No.9, September 19, 2011

DOI: 10.4236/am.2011.29151 7,568 Downloads 15,248 Views Citations
A Second Order Characteristic Mixed Finite Element Method for Convection Diffusion Reaction Equations (Articles)

Tongjun Sun

Journal of Applied Mathematics and Physics Vol.5 No.6, June 27, 2017

DOI: 10.4236/jamp.2017.56109 1,246 Downloads 2,675 Views Citations
Computational Fluid Dynamics Approach to Climate Resilience in Semi-Arid Regions (Articles)

Ngesa Joel Ochola, Mark Kimathi, Robert Mathenge Mutwiri, Robert Cheruiyot Lang’at, Sewe Stanley Odhiambo

Open Journal of Modelling and Simulation Vol.14 No.3, May 21, 2026

DOI: 10.4236/ojmsi.2026.143006 32 Downloads 187 Views Citations
A Characteristics-Mix Stabilized Finite Element Method for Variable Density Incompressible Navier-Stokes Equations (Articles)

Fei Xiong, Liquan Mei, Ying Li, Wu Zhang

Advances in Pure Mathematics Vol.5 No.5, April 13, 2015

DOI: 10.4236/apm.2015.55026 3,415 Downloads 4,832 Views Citations

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