A meshless finite point method for the improved Boussinesq equation using stabilized moving least squares approximation and Richardson extrapolation
DOI10.1002/num.22985OpenAlexW4313357407MaRDI QIDQ6066557
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Publication date: 13 December 2023
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/num.22985
solitonRichardson extrapolationmeshlessnonlinear improved Boussinesq equationfinite point methodstabilized moving least squares approximation
Numerical optimization and variational techniques (65K10) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Extrapolation to the limit, deferred corrections (65B05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Blow-up in context of PDEs (35B44) Soliton solutions (35C08)
Cites Work
- Unnamed Item
- Unnamed Item
- Energy-preserving finite volume element method for the improved Boussinesq equation
- A meshless based numerical technique for traveling solitary wave solution of Boussinesq equation
- A numerical study for the KdV and the good Boussinesq equations using Fourier Chebyshev tau meshless method
- On the stability of the moving least squares approximation and the element-free Galerkin method
- A not-a-knot meshless method using radial basis functions and predictor-corrector scheme to the numerical solution of improved Boussinesq equation
- A predictor-corrector scheme for the improved Boussinesq equation
- A second order numerical scheme for the improved Boussinesq equation
- Error estimates for the moving least-square approximation and the element-free Galerkin method in \(n\)-dimensional spaces
- Error estimates for the finite point method
- Linear B-spline finite element method for the improved Boussinesq equation
- Partial differential equations and solitary waves theory
- Numerical solutions of the improved Boussinesq equation
- Comparative accuracy and performance assessment of the finite point method in compressible flow problems
- A-posteriori error estimation for the finite point method with applications to compressible flow
- Compact structure-preserving algorithm with high accuracy extended to the improved Boussinesq equation
- A new efficient energy-preserving finite volume element scheme for the improved Boussinesq equation
- Error analysis of an implicit Galerkin meshfree scheme for general second-order parabolic problems
- Theoretical analysis of the generalized finite difference method
- Analysis of a superconvergent recursive moving least squares approximation
- Error analysis of the meshless finite point method
- On the pricing of multi-asset options under jump-diffusion processes using meshfree moving least-squares approximation
- Energy conserving local discontinuous Galerkin methods for the improved Boussinesq equation
- Analysis of transient wave propagation dynamics using the enriched finite element method with interpolation cover functions
- Three-dimensional complex variable element-free Galerkin method
- Interpolating stabilized moving least squares (MLS) approximation for 2D elliptic interface problems
- The reproducing kernel particle Petrov-Galerkin method for solving two-dimensional nonstationary incompressible Boussinesq equations
- The interpolating element-free Galerkin (IEFG) method for three-dimensional potential problems
- The improved element-free Galerkin method for three-dimensional elastoplasticity problems
- Nonlinear variants of the improved Boussinesq equation with compact and noncompact struc\-tures
- Quadratic finite volume element method for the improved Boussinesq equation
- Numerical simulations of the improved Boussinesq equation
- A <scp>F</scp>ourier pseudospectral method for a generalized improved <scp>B</scp>oussinesq equation
- An efficient meshfree point collocation moving least squares method to solve the interface problems with nonhomogeneous jump conditions
- Solitary waves on nonlinear elastic rods. I
- Existence and non-existence of global solutions to a generalized modification of the improved Boussinesq equation
- A FINITE POINT METHOD IN COMPUTATIONAL MECHANICS. APPLICATIONS TO CONVECTIVE TRANSPORT AND FLUID FLOW
- High‐order energy‐preserving schemes for the improved Boussinesq equation
- Least‐square collocation and Lagrange multipliers forTaylor meshless method
- A Coupled FE-Meshfree Triangular Element for Acoustic Radiation Problems
- Numerical solutions of the improved boussinesq equation by the galerkin quadratic B-spline finite element method
- A Compact Fourth-Order Finite Difference Scheme for the Improved Boussinesq Equation with Damping Terms