Weakly singular integral equations

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Weakly singular functional-integral equation in infinite dimensional Banach spaces

Applied Mathematics and Computation, 2003
The author is investigating functional-integral equations of the form \[ y(t)= \phi\Biggl(t, \lambda\int_\Omega k(t,s) g(s,y(s))\,ds\Biggr),\tag{1} \] with \(t\) a.e. in \(\mathbb{R}^n\), where \(\Omega\) stands for a compact set of \(\mathbb{R}^n\). The values of \(y\) belong to a Banach space \(E\). The kernel \(k(t,s)\) has the form \(k(t,s)= h(t,s)|
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What is the complexity of weakly singular integral equations?

AIP Conference Proceedings, 2012
We discuss bounds of fast solving weakly singular Fredholm integral equations when the information about the smooth coefficient functions in the kernel and about the free term is restricted to a given number of sample values. In this situation, a fast/quasifast solver is constructed.
Arvet Pedas, Gennadi Vainikko
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Discontinuous Galerkin approximations to second-kind Volterra integral equations with weakly singular kernel

Applied Numerical Mathematics, 2022
Hui Liang
exaly

A novel Jacob spectral method for multi-dimensional weakly singular nonlinear Volterra integral equations with nonsmooth solutions

Engineering With Computers, 2020
Mahmoud A Zaky
exaly

Operational matrix method for solving fractional weakly singular 2D partial Volterra integral equations

Journal of Computational and Applied Mathematics, 2023
Reza Ezzati
exaly

Multidimensional Weakly Singular Integral Equations

1993
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A Hybrid Collocation Method for Volterra Integral Equations with Weakly Singular Kernels

SIAM Journal on Numerical Analysis, 2003
Yanzhao Cao, Yuesheng Xu
exaly

A Numerical Method for Weakly Singular Nonlinear Volterra Integral Equations of the Second Kind

Symmetry, 2020
Sanda Micula
exaly