The impact of LRBF-FD on the solutions of the nonlinear regularized long wave equation
From MaRDI portal
Publication:2119817
DOI10.1007/s40096-021-00375-8zbMath1486.65126OpenAlexW3127052950MaRDI QIDQ2119817
Zakieh Avazzadeh, Omid Nikan, Mohammad Navaz Rasoulizadeh
Publication date: 30 March 2022
Published in: Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40096-021-00375-8
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical radial basis function approximation (65D12)
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Cites Work
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- High accuracy cubic spline finite difference approximation for the solution of one-space dimensional non-linear wave equations
- Numerical solution of GRLW equation using sinc-collocation method
- The \((\frac{G'}{G})\)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics
- Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates
- On using radial basis functions in a ``finite difference mode with applications to elasticity problems
- Numerical methods based on radial basis function-generated finite difference (RBF-FD) for solution of GKdVB equation
- Galerkin method for the numerical solution of the RLW equation using quintic B-splines
- Numerical solution of time-fractional fourth-order reaction-diffusion model arising in composite environments
- Travelling wave solutions to certain nonlinear evolution equations
- Periodic and solitary wave solutions of Kawahara and modified Kawahara equations by using Sine-Cosine method
- Convergence order estimates of meshless collocation methods using radial basis functions
- New exact travelling wave solutions for the Kawahara and modified Kawahara equations
- Circumventing the ill-conditioning problem with multiquadric radial basis functions: Applications to elliptic partial differential equations
- The meshless local collocation method for solving multi-dimensional Cahn-Hilliard, Swift-Hohenberg and phase field crystal equations
- Reduced order modeling of time-dependent incompressible Navier-Stokes equation with variable density based on a local radial basis functions-finite difference (LRBF-FD) technique and the POD/DEIM method
- Numerical investigation of fractional nonlinear sine-Gordon and Klein-Gordon models arising in relativistic quantum mechanics
- A meshfree method for the numerical solution of the RLW equation
- Application of a lumped Galerkin method to the regularized long wave equation
- Galerkin method for the numerical solution of the RLW equation using quadratic B-splines
- Radial Basis Functions
- B-Spline Collocation Methods For Numerical Solutions Of The Rlw Equation
- Multivariate Interpolation and Conditionally Positive Definite Functions. II
