A numerical scheme for solving a class of logarithmic integral equations arisen from two-dimensional Helmholtz equations using local thin plate splines

DOI10.1016/j.amc.2019.03.042zbMath1428.74224OpenAlexW2935104466WikidataQ128124837 ScholiaQ128124837MaRDI QIDQ2009534

Pouria Assari, Salvatore Cuomo, Fatemeh Asadi-Mehregan

Publication date: 29 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.2019.03.042

zbMATH Keywords

error analysisHelmholtz equationmeshless methodlogarithmic integral equationdiscrete collocation methodlocal thin plate spline

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Plates (74K20) Spectral and related methods applied to problems in solid mechanics (74S25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Fredholm integral equations (45B05)

Related Items (4)

BARYCENTRIC RATIONAL INTERPOLATION METHOD OF THE HELMHOLTZ EQUATION WITH IRREGULAR DOMAIN ⋮ Error asymptotic expansion for the numerical approximation of logarithmic-kernel integral equations on closed curves ⋮ An application of Lobatto–Chebyshev method to a nonhomogeneous plane problem with two cracks ⋮ An efficient and stable Lagrangian matrix approach to Abel integral and integro-differential equations

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