Meshfree approach for solving multi-dimensional systems of Fredholm integral equations via barycentric Lagrange interpolation

DOI10.1016/j.amc.2018.10.024zbMath1429.65316OpenAlexW2898718453MaRDI QIDQ2008419

Wei Zhang, Yanying Ma, Hongyan Liu, Jin Huang

Publication date: 25 November 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2018.10.024

zbMATH Keywords

systems of Fredholm integral equationsbarycentric Lagrange basis functionsconvergence analysis and error estimationmeshfree approach

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Numerical interpolation (65D05) Fredholm integral equations (45B05)

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Cites Work

• The stability of barycentric interpolation at the Chebyshev points of the second kind
• Numerical solutions for the system of Fredholm integral equations of second kind by a new approach involving semiorthogonal B-spline wavelet collocation method
• The effects of rounding errors in the nodes on barycentric interpolation
• A numerical method for solving systems of linear and nonlinear integral equations of the second kind by hat basis functions
• A numerical solution for solving system of Fredholm integral equations by using homotopy perturbation method
• Numerical solution of second kind Fredholm integral equations system by using a Taylor-series expansion method
• Fast Reduction of Generalized Companion Matrix Pairs for Barycentric Lagrange Interpolants
• A new numerical approach for the solution of nonlinear Fredholm integral equations system of second kind by using Bernstein collocation method
• Barycentric interpolation of interface solution for solving stochastic partial differential equations on non-overlapping subdomains with additive multi-noises
• Barycentric Lagrange Interpolation
• The numerical stability of barycentric Lagrange interpolation
• Lagrangian Interpolation at the Chebyshev Points xn,     cos (  /n),   = 0(1)n; some Unnoted Advantages
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