Results 101 to 110 of about 576 (215)

Toeplitz Matrix Method and Nonlinear Volterra–Fredholm Integral Equation With Hilbert Kernel

Computational and Mathematical Methods
This work emphasizes the investigation of the solution to the nonlinear Volterra–Fredholm integral equation (NV-FIE) and the necessary conditions for a unique solution.
Sameeha Ali Raad, Ahlam Yahya Alabdali
doaj   +1 more source

On the stability of piecewise polynomial collocation methods for solving weakly singular integral equations of the second kind

Mathematical Modelling and Analysis, 2008
Piecewise polynomial collocation methods on special nonuniform grids are efficient methods for solving weakly singular Fredholm and Volterra integral equations but there is a widespread belief that those methods are numerically unstable in the case of ...
Raul Kangro, Inga Kangro
doaj   +1 more source

Singularly perturbed Volterra integral equations with weakly singular kernels [PDF]

International Journal of Mathematics and Mathematical Sciences, 2002
We consider finding asymptotic solutions of the singularly perturbed linear Volterra integral equations with weakly singular kernels. An interesting aspect of these problems is that the discontinuity of the kernel causes layer solutions to decay algebraically rather than exponentially within the initial (boundary) layer. To analyse this phenomenon, the
openaire   +2 more sources

A new perspective on the numerical and analytical treatment of a certain singular Volterra integral equation [PDF]

, 2021
In this thesis, the focus of our attention is on a certain linear Volterra integral equation with singular kernel. The equation is of great interest due to the fact that, under certain conditions, it possesses an in finite family of solutions, out of ...
Roberts, Jane N.
core  

An Efficient Operational Matrix Method for Solving a Class of Two-Dimensional Singular Volterra Integral Equations

Journal of Mathematical Sciences and Modelling, 2018
In this paper, we consider a spectral method to solve a class of two-dimensional singular Volterra integral equations using some basic concepts of fractional calculus.
Somayeh Nemati
doaj   +1 more source

Annual Reports to the ESA Council ESA 110th Annual Meeting July, 2025

The Bulletin of the Ecological Society of America, Volume 107, Issue 2, April 2026.
wiley   +1 more source

On a symptotic methods for Fredholm–Volterra integral equation of the second kind in contact problems

, 2003
A method is used to obtain the general solution of Fredholm–Volterra integral equation of the second kind in the space L2(Ω)×C(0,T),0⩽t ...
Abdou, M.A., M.A. Abdou
core   +1 more source

A new approach to the numerical solution of weakly singular Volterra integral equations

, 2004
We consider linear weakly singular Volterra integral equations of the second kind, with kernels of the form k(x,v)=|x−v|−αK(x,v ...
Orsi, Annamaria Palamara, Baratella, Paola, PALAMARA ORSI A.   +2 more
core   +1 more source

Numerical Solution of Weakly Singular Ito-Volterra Integral Equations via Operational Matrix Method based on Euler Polynomials

پژوهش‌های ریاضی, 2018
Introduction Many problems which appear in different sciences such as physics, engineering, biology, applied mathematics and different branches can be modeled by using deterministic integral equations.
Farshid Mirzaee, Nasrin Samadyar;
doaj  

Efficient Nyström-type method for the solution of highly oscillatory Volterra integral equations of the second kind. [PDF]

PLoS One, 2023
Wu Q, Sun M.
europepmc   +1 more source