A meshless scaling iterative algorithm based on compactly supported radial basis functions for the numerical solution of Lane-Emden-Fowler equation
From MaRDI portal
Publication:2885161
DOI10.1002/num.20635zbMath1457.65232OpenAlexW2101037795WikidataQ115398330 ScholiaQ115398330MaRDI QIDQ2885161
Publication date: 21 May 2012
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/num.20635
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) PDEs in connection with fluid mechanics (35Q35) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91) Numerical radial basis function approximation (65D12)
Related Items (4)
A hybrid radial basis functions collocation technique to numerically solve fractional advection–diffusion models ⋮ A new approach to solving a quasilinear boundary value problem with \(p\)-Laplacian using optimization. ⋮ Application of meshfree method based on compactly supported radial basis function for solving unsteady isothermal gas through a micro-nano porous medium ⋮ Numerical study of astrophysics equations by meshless collocation method based on compactly supported radial basis function
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Local RBF-based differential quadrature collocation method for the boundary layer problems
- A least-square radial point collocation method for adaptive analysis in linear elasticity
- Interpolation of scattered data: distance matrices and conditionally positive definite functions
- Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates
- The effect of the domain topology on the number of positive solutions of nonlinear elliptic problems
- A numerical method for KdV equation using collocation and radial basis functions
- A numerical method for solution of the two-dimensional sine-Gordon equation using the radial basis functions
- Nonlinear oscillations in a suspension bridge
- Symmetry and related properties via the maximum principle
- A mountain pass method for the numerical solution of semilinear wave equations
- Traveling waves in a nonlinearly suspended beam: Theoretical results and numerical observations
- Circumventing the ill-conditioning problem with multiquadric radial basis functions: Applications to elliptic partial differential equations
- Solution of Poisson's equation by iterative DRBEM using compactly supported, positive definite radial basis function
- Adaptive radial basis function methods for time dependent partial differential equations
- Infinite dimensional Morse theory and multiple solution problems
- Existence of many positive solutions of semilinear equations on annulus
- Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
- Error estimates and condition numbers for radial basis function interpolation
- Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
- Error estimate, optimal shape factor, and high precision computation of multiquadric collocation method
- A stabilized least-squares radial point collocation method (LS-RPCM) for adaptive analysis
- Adaptive residual subsampling methods for radial basis function interpolation and collocation problems
- A meshless method of lines for the numerical solution of KdV equation using radial basis functions
- A Minimax Method for Finding Multiple Critical Points and Its Applications to Semilinear PDEs
- Numerical mountain pass solutions of a suspension bridge equation
- Travelling Waves in a Suspension Bridge
- A high-linking algorithm for sign-changing solutions of semilinear elliptic equations
- Exponential convergence andH-c multiquadric collocation method for partial differential equations
- Domain decomposition for radial basis meshless methods
- Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis
- A mountain pass method for the numerical solution of semilinear elliptic problems
- A Minimax Method for Finding Multiple Critical Points in Banach Spaces and Its Application to Quasi-linear Elliptic PDE
- Numerical solution of the Sturm–Liouville problem with local RBF-based differential quadrature collocation method
- ALGORITHMS AND VISUALIZATION FOR SOLUTIONS OF NONLINEAR ELLIPTIC EQUATIONS
- Direct solution of ill-posed boundary value problems by radial basis function collocation method
This page was built for publication: A meshless scaling iterative algorithm based on compactly supported radial basis functions for the numerical solution of Lane-Emden-Fowler equation
