Using Newton basis functions for solving diffusion equation with nonlocal boundary condition
DOI10.1007/s40324-017-0123-3zbMath1395.65101OpenAlexW2606131120MaRDI QIDQ1742866
M. Mohseni Moghadam, Y. Fadaei
Publication date: 12 April 2018
Published in: S\(\vec{\text{e}}\)MA Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40324-017-0123-3
collocation methoddiffusion equationmethod of linesnonlocal boundary conditionNewton basis functions
Numerical methods for initial value problems involving ordinary differential equations (65L05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Direct numerical methods for linear systems and matrix inversion (65F05) Numerical integration (65D30) Orthogonalization in numerical linear algebra (65F25)
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Cites Work
- Interpolation of scattered data: distance matrices and conditionally positive definite functions
- A numerical study of some radial basis function based solution methods for elliptic PDEs
- Bases for kernel-based spaces
- On the solution of the non-local parabolic partial differential equations via radial basis functions
- A Newton basis for kernel spaces
- Convergence order estimates of meshless collocation methods using radial basis functions
- Numerical solution of a parabolic equation subject to specification of energy.
- A comparison analysis between unsymmetric and symmetric radial basis function collocation methods for the numerical solution of partial differential equations
- Efficient techniques for the second-order parabolic equation subject to nonlocal specifications
- Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
- A Galerkin-reproducing kernel method: application to the 2D nonlinear coupled Burgers' equations
- The one-dimensional heat equation subject to a boundary integral specification
- A computational study of the one-dimensional parabolic equation subject to nonclassical boundary specifications
- Kernel techniques: From machine learning to meshless methods
- Local error estimates for radial basis function interpolation of scattered data
- Scattered Data Approximation
- Upwinding in the method of lines
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