The stability study of numerical solution of Fredholm integral equations of the first kind with emphasis on its application in boundary elements method

DOI10.1016/j.apnum.2020.07.011zbMath1452.65406OpenAlexW3044220889MaRDI QIDQ2202424

Zeynab Sedaghatjoo, Mehdi Dehghan, Hossein Hosseinzadeh

Publication date: 18 September 2020

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2020.07.011

zbMATH Keywords

Fredholm integral equationsradial basis functionsnumerical stabilitypartial differential equationsboundary elements methodanalysis of deep level transient spectroscopy dataanalysis of nuclear magnetic resonance dataanalysis of static light scattering dataweak and strong forms

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Fredholm integral equations (45B05) Boundary element methods for boundary value problems involving PDEs (65N38) Eigenvalue problems for integral equations (45C05)

Related Items (2)

A new meshless local integral equation method ⋮ A second-order post-processing technique for singularly perturbed Volterra integro-differential equations

Uses Software

• BEAN

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Condition number of the BEM matrix arising from the Stokes equations in 2D
• Solution of Hallen's integral equation using multiwavelets
• On uniqueness of numerical solution of boundary integral equations with 3-times monotone radial kernels
• On the condition number of boundary integral operators for the exterior Dirichlet problem for the Helmholtz equation
• Convergence of numerical solution of the Fredholm integral equation of the first kind with degenerate kernel
• Numerical solution of Fredholm integral equations by using CAS wavelets
• Uniqueness theorem for integral equations and its application
• On spectral distribution of kernel matrices related to radial basis functions
• Inequalities involving Bessel and modified Bessel functions
• The exact solution and stability analysis for integral equation of third or first kind with singular kernel
• A concrete approach to classical analysis
• A numerical method for solution of the two-dimensional sine-Gordon equation using the radial basis functions
• Smoothed particle hydrodynamics (SPH): an overview and recent developments
• On the stability of integral equations of the first kind with logarithmic kernels
• The influence of the weighting parameter on the improved boundary element solution of the exterior Helmholtz equation
• The effective condition number applied to error analysis of certain boundary collocation methods
• Numerical solution of 2D Navier-Stokes equation discretized via boundary elements method and finite difference approximation
• On integral equations of the first kind with logarithmic kernels
• Solution of Helmholtz equation in the exterior domain by elementary boundary integral methods
• The conditioning of some numerical methods for first kind boundary integral equations
• Direct meshless local Petrov-Galerkin (DMLPG) method: A generalized MLS approximation
• Numerical solution of Abel's integral equation by using Legendre wavelets
• The use of continuous boundary elements in the boundary elements method for domains with non-smooth boundaries via finite difference approach
• Numerical solution of the nonlinear Fredholm integral equations by positive definite functions
• A meshless method based on the dual reciprocity method for one-dimensional stochastic partial differential equations
• Eigenvalue decay of positive integral operators on the sphere
• On generalized moving least squares and diffuse derivatives
• Eigenvalues of Positive Definite Kernels II
• Eigenvalues of Analytic Kernels
• Symmetric Galerkin Boundary Element Method
• Beijing Lectures in Harmonic Analysis. (AM-112)
• The Galerkin Method for Integral Equations of the First Kind with Logarithmic Kernel: Applications
• On two methods for elimination of non-unique solutions of an integral equation with logarithmic kernel/^†
• Condition number of matrices derived from two classes of integral equations
• On the order of approximation when solving a Fredholm equation of the first kind with a kernel of special type
• The analog equation method: A boundary-only integral equation method for nonlinear static and dynamic problems in general bodies
• A relation between the logarithmic capacity and the condition number of the BEM‐matrices
• Scattered Data Approximation

This page was built for publication: The stability study of numerical solution of Fredholm integral equations of the first kind with emphasis on its application in boundary elements method