Numerical Solutions of the Nonlinear Dispersive Shallow Water ...

2. The Mathematical Models of the Dispersive Shallow Water Waves ... where u is the wave speed; x and t are the spatial- and temporal-axes; α, β, ω, and q are the ...

Approximate Numerical solutions for the nonlinear dispersive ...

The nonlinear partial differential equations having travelling or solitary wave solutions is numerically challenging, in which one of the important type is the ...

This paper applied the space-time generalized finite difference scheme for solving the nonlinear dispersive shallow water waves as the ...

(PDF) Numerical Solutions of the Nonlinear Dispersive Shallow ...

This paper applied the space-time generalized finite difference scheme for solving the nonlinear dispersive shallow water waves as the ...

Numerical solutions of the nonlinear dispersive shal - Preprints.org

The dispersive shallow water wave is a kind of wave propagation phenomenon that has been widely studied in engineering. It has many applications ...

Numerical Solutions of the Nonlinear Dispersive Shallow Water ...

This study applies the space-time generalized finite difference scheme to solve nonlinear dispersive shallow water waves described by the ...

Approximate Numerical solutions for the nonlinear dispersive ...

Approximate Numerical solutions for the nonlinear dispersive shallow water waves as the Fornberg-Whitham model equations ... Abstract. The nonlinear partial ...

Approximate Numerical solutions for the nonlinear dispersive ...

Semantic Scholar extracted view of "Approximate Numerical solutions for the nonlinear dispersive shallow water waves as the Fornberg–Whitham model ...

Numerical approach of dispersive shallow water waves with ...

The nonlinear partial differential equations play important role in applied sciences. The dynamics of nonlinear-dispersive model of shallow water waves is ...

(PDF) Dispersive nonlinear shallow-water equations - Academia.edu

The dispersive nonlinear shallow-water equations of Antuono et al. (Stud Appl Math 122:1–28, 2008) are solved by means of an explicit arbitrary high-order ...

Approximate Numerical solutions for the nonlinear dispersive ... - OUCI

Approximate Numerical solutions for the nonlinear dispersive shallow water waves as the Fornberg–Whitham model equations ... Authors: Hijaz Ahmad; Aly R. Seadawy ...

Numerical study of high order nonlinear dispersive PDEs using ...

In this study we investigate solutions of some high order nonlinear dispersive PDEs namely generalized Degasperis-Procesi (DP), Camassa-Holm (CH) and Korteweg- ...

Capturing Physical Dispersion Using a Nonlinear Shallow Water ...

Numerical approaches of Nonlinear Shallow Water Equations (NLSWEs) and nonlinear Boussinesq-Type Equations (BTEs) are two of the most common numerical ...

An efficient numerical simulation of nonlinear‐dispersive model of ...

The scheme is proved to be conservative, uniquely solvable, and conditionally stable. The convergence of the difference scheme is proved by ...

Non-dispersive conservative regularisation of nonlinear shallow ...

Here, we focus on shallow water equations, but it is clear that our claims apply as well to the isothermal Euler and mathematically similar ...

Dispersive Shallow Water Waves - SpringerLink

... numerical methods used to simulate the propagation and generation of long surface water waves ... nonlinear weakly dispersive equations. Dispersive ...

A hybridized discontinuous Galerkin method for nonlinear dispersive ...

Here, we study the numerical solution to three equations for modeling coastal water waves using the hybridized discontinuous Galerkin method (HDG). HDG is known ...

Comparative Analysis of Nonlinear Dispersive Shallow Water Models

The aim is to find their individual properties relevant for the numerical solution of some model problems of long wave transformation over submerged obstacles ...

Nonlinear-dispersive shallow water equations on a rotating sphere

Nonlinear-dispersive shallow water equations on a sphere are obtained. These equations can be used in simulation of large-scale propagation ...

Study on numerical solution of dispersive water wave phenomena ...

Approximate Numerical solutions for the nonlinear dispersive shallow water waves as the Fornberg–Whitham model equations · Hijaz AhmadA. SeadawyAbdul Hamid ...