The local meshless collocation method for numerical simulation of shallow water waves based on generalized equal width (GEW) equation
DOI10.1016/j.wavemoti.2021.102805OpenAlexW3196233031MaRDI QIDQ2124063
Mehdi Dehghan, Mostafa Bayat, Mostafa Abbaszadeh
Publication date: 14 April 2022
Published in: Wave Motion (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.wavemoti.2021.102805
shallow water equationradial basis functiongeneralized equal width (GEW) equationlocal collocation methodmoving kriging interpolation
Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)
Related Items (2)
Cites Work
- A guide to RBF-generated finite differences for nonlinear transport: shallow water simulations on a sphere
- A Petrov-Galerkin method for solving the generalized equal width (GEW) equation
- Stabilization of RBF-generated finite difference methods for convective PDEs
- A moving Kriging interpolation-based element-free Galerkin method for structural dynamic analysis
- A meshless local moving Kriging method for two-dimensional solids
- The interpolating element-free Galerkin method for solving Korteweg-de Vries-Rosenau-regularized long-wave equation with error analysis
- Numerical solution of the Klein-Gordon equation via He's variational iteration method
- A numerical method for KdV equation using collocation and radial basis functions
- New solitary wave solutions to the Kuramoto-Sivashinsky and the Kawahara equations
- Partial differential equations and solitary waves theory
- A meshless local Kriging method for large deformation analyses
- Scattering of regularized-long-wave solitary waves
- A Legendre collocation method for distributed-order fractional optimal control problems
- A sine-cosine method for handling nonlinear wave equations
- The tanh method for traveling wave solutions of nonlinear equations
- Numerical solution of transient heat conduction problems using improved meshless local Petrov-Galerkin method
- A meshfree approach for analysis and computational modeling of non-linear Schrödinger equation
- The interpolating element-free Galerkin method for three-dimensional elastoplasticity problems
- Error analysis of interpolating element free Galerkin method to solve non-linear extended Fisher-Kolmogorov equation
- Delta-shaped basis functions-pseudospectral method for numerical investigation of nonlinear generalized equal width equation in shallow water waves
- Analyzing 3D advection-diffusion problems by using the dimension splitting element-free Galerkin method
- A numerical solution of the equal width wave equation by a lumped Galerkin method
- On the solution of an initial-boundary value problem that combines Neumann and integral condition for the wave equation
- A lumped Galerkin method for the numerical solution of the modified equal-width wave equation using quadratic B-splines
- A numerical algorithm for computation modelling of 3D nonlinear wave equations based on exponential modified cubic B-spline differential quadrature method
- Solitary waves for the generalized equal width (GEW) equation
- Local RBF Algorithms for Elliptic Boundary Value Problems in Annular Domains
- Fourth Order Exponential Time Differencing Method with Local Discontinuous Galerkin Approximation for Coupled Nonlinear Schrödinger Equations
- Long waves on a beach
- Model equations for long waves in nonlinear dispersive systems
- Analysis of a new class of rational RBF expansions
This page was built for publication: The local meshless collocation method for numerical simulation of shallow water waves based on generalized equal width (GEW) equation