Numerical solution of Volterra-Fredholm integral equations based on \(\varepsilon\)-SVR method

DOI10.1016/j.cam.2015.12.002zbMath1331.65178OpenAlexW2219030831MaRDI QIDQ908387

Liya Fan, Haitao Xu

Publication date: 4 February 2016

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2015.12.002

zbMATH Keywords

quadratic programmingnumerical solutionsupport vector regressiontrapezoid quadratureVolterra-Fredholm integral equationsmachine learning method

Mathematics Subject Classification ID

Learning and adaptive systems in artificial intelligence (68T05) Quadratic programming (90C20) Numerical methods for integral equations (65R20)

Related Items (2)

Numerical solution of Volterra-Fredholm integral equations using the collocation method based on a special form of the Müntz-Legendre polynomials ⋮ Numerical simulation of Volterra-Fredholm integral equations using least squares support vector regression

Cites Work

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• LS-SVR-based solving Volterra integral equations
• Numerical solution of Volterra-Fredholm integral equations using Legendre collocation method
• Numerical solution of linear Volterra integral equations of the second kind with sharp gradients
• Fredholm-Volterra integral equation of the first kind and contact problem
• Least squares approximation method for the solution of Volterra-Fredholm integral equations
• A quadrature method with variable step for solving linear Volterra integral equations of the second kind
• Solving linear integral equations of the second kind with repeated modified trapezoid quadrature method
• Local prediction of nonlinear time series using support vector regression
• A Galerkin solution to a regularized Cauchy singular integro-differential equation

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