Construction of solutions for the shallow water equations by the decomposition method

DOI10.1016/j.matcom.2004.03.005zbMath1113.65098OpenAlexW2076291166MaRDI QIDQ1877714

Kamel Al-Khaled, Fathi M. Allan

Publication date: 19 August 2004

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2004.03.005

zbMATH Keywords

solutionsAdomian decomposition methodConservation lawsShallow water equationsSoliton

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

Related Items

A reliable study for extensions of the Bratu problem with boundary conditions, Derivation of the Adomian decomposition method using the homotopy analysis method, A new convergence proof of the Adomian decomposition method for a mixed hyperbolic elliptic system of conservation laws, MATHEMATICAL MODELING TO SIMULATE THE MOVEMENT OF CONTAMINANTS IN GROUNDWATER, An approximation of the analytic solution of the shock wave equation, New applications of variational iteration method

Cites Work

• Unnamed Item
• Unnamed Item
• A review of the decomposition method in applied mathematics
• A comparison between Adomian decomposition method and Taylor series method in the series solutions
• Solving frontier problems of physics: the decomposition method
• Decomposition methods: A new proof of convergence
• Upwind methods for hyperbolic conservation laws with source terms
• Atmospheric and ocean modeling with an adaptive finite element solver for the shallow-water equations
• A numerical method for solving Jaulent-Miodek equation
• Exact and numerical traveling wave solutions for nonlinear coupled equations using symbolic computation
• The decomposition method for approximate solution of the Goursat problem
• Convergence of Adomian's Method
• Finite Element Approximations to the System of Shallow Water Equations I: Continuous-Time A Priori Error Estimates
• A multigrid semi-implicit finite difference method for the two-dimensional shallow water equations