Numerical solution of Poisson's equation using radial basis function networks on the polar coordinate
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Publication:2389475
DOI10.1016/j.camwa.2008.07.026zbMath1165.65401OpenAlexW2043012905MaRDI QIDQ2389475
Azim Aminataei, Mohammad Mehdi Mazarei
Publication date: 17 July 2009
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2008.07.026
Poisson's equationcondition numberradial basis function networksmultiquadric approximation schemepolar coordinatenumerical comparison of the solutions
Related Items (6)
Application of RBFs collocation method for solving integral equations ⋮ A radial basis function method for solving PDE-constrained optimization problems ⋮ Numerical solution of Poisson's equation using a combination of logarithmic and multiquadric radial basis function networks ⋮ Multilayer perceptrons and radial basis function neural network methods for the solution of differential equations: a survey ⋮ Linearized implicit methods based on a single-layer neural network: application to Keller-Segel models ⋮ Numerical solution of differential algebraic equations using a multiquadric approximation scheme
Cites Work
- Theory and applications of the multiquadric-biharmonic method. 20 years of discovery 1968-1988
- Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates
- Application of the multiquadric method for numerical solution of elliptic partial differential equations
- The parameter \(R^ 2\) in multiquadric interpolation
- Scattered Data Interpolation: Tests of Some Method
- A numerical method for heat transfer problems using collocation and radial basis functions
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