A new approach to the numerical solution of Fredholm integral equations using least squares-support vector regression
From MaRDI portal
Publication:1998260
DOI10.1016/j.matcom.2020.08.010OpenAlexW3081170304MaRDI QIDQ1998260
Publication date: 6 March 2021
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matcom.2020.08.010
Fredholm integral equationleast squares support vector machinescollocation LS-SVRGalerkin LS-SVRorthogonal kernel
Numerical methods for integral equations, integral transforms (65Rxx) Fredholm integral equations (45Bxx)
Related Items
Numerical learning approximation of time-fractional sub diffusion model on a semi-infinite domain ⋮ Least squares support vector regression for differential equations on unbounded domains ⋮ Numerical solution of nonlinear stochastic differential equations with fractional Brownian motion using fractional-order Genocchi deep neural networks ⋮ Bernoulli wavelet least squares support vector regression: Robust numerical method for systems of fractional differential equations ⋮ Performance of Genocchi wavelet neural networks and least squares support vector regression for solving different kinds of differential equations ⋮ Chelyshkov least squares support vector regression for nonlinear stochastic differential equations by variable fractional Brownian motion
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Chebyshev neural network based model for solving Lane-Emden type equations
- LS-SVR-based solving Volterra integral equations
- A fast direct solver for the integral equations of scattering theory on planar curves with corners
- Numerical solution of nonlinear Volterra-Fredholm-Hammerstein integral equations via collocation method based on radial basis functions
- Two cubic spline methods for solving Fredholm integral equations
- A composite collocation method for the nonlinear mixed Volterra-Fredholm-Hammerstein integral equations
- Collocation method using sinc and rational Legendre functions for solving Volterra's population model
- A new spectral meshless radial point interpolation (SMRPI) method for the two-dimensional Fredholm integral equations on general domains with error analysis
- Local weak form meshless techniques based on the radial point interpolation (RPI) method and local boundary integral equation (LBIE) method to evaluate European and American options
- Numerical solution of nonlinear Fredholm integral equations of the second kind using Haar wavelets
- Utilizing feed-back neural network approach for solving linear Fredholm integral equations system
- Support-vector networks
- Numerical solution of a class of two-dimensional nonlinear Volterra integral equations using Legendre polynomials
- Integral equations and machine learning
- DGM: a deep learning algorithm for solving partial differential equations
- A meshless local discrete Galerkin (MLDG) scheme for numerically solving two-dimensional nonlinear Volterra integral equations
- A comparison of Newton-Raphson method with Newton-Krylov generalized minimal residual (GMRes) method for solving one and two dimensional nonlinear Fredholm integral equations
- Solving Fredholm integral equations of the first kind using Müntz wavelets
- Solving the nonlinear Schlomilch's integral equation arising in ionospheric problems
- Barycentric interpolation collocation methods for solving linear and nonlinear high-dimensional Fredholm integral equations
- New approach to solve two-dimensional Fredholm integral equations
- Error estimate of finite element/finite difference technique for solution of two-dimensional weakly singular integro-partial differential equation with space and time fractional derivatives
- Numerical solutions of the integral equations: homotopy perturbation method and Adomian's decomposition method
- Numerical solution of the second kind integral equations using radial basis function networks
- Legendre wavelets method for the nonlinear Volterra---Fredholm integral equations
- Spectral Methods
- Projected regression method for solving Fredholm integral equations arising in the analytic continuation problem of quantum physics
- Radial basis functions method for solving three-dimensional linear Fredholm integral equations on the cubic domains
- On the numerical solution of Fredholm integral equations utilizing the local radial basis function method
- On the Numerical Solution of Logarithmic Boundary Integral Equations Arising in Laplace's Equations Based on the Meshless Local Discrete Collocation Method
- A Higher Order Space-Time Galerkin Scheme for Time Domain Integral Equations
