Results 81 to 90 of about 341 (180)

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

A Mechanical Quadrature Method for Solving Delay Volterra Integral Equation with Weakly Singular Kernels

Complexity, 2019
In this work, a mechanical quadrature method based on modified trapezoid formula is used for solving weakly singular Volterra integral equation with proportional delays.
Li Zhang, Jin Huang, Yubin Pan, Xiaoxia Wen   +3 more
doaj   +1 more source

A Nyström interpolant for some weakly singular nonlinear Volterra integral equations

Journal of Computational and Applied Mathematics, 2009
The author considers the numerical solution of second kind Volterra integral equations with weakly singular kernel which is a non-compact operator, of the type \[ u(t)- \int^t_0 k(t,s)\Biggl({s\over t}\Biggr)^\mu {u(s)\over s} ds= f(t),\qquad t\in (0,T]> 0,\;\mu> 0, \] and \(f(t)\) a given function.
openaire   +4 more sources

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

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

An Algorithm for Solving Phase-Lag Nonlinear Mixed Integral Equation With Discontinuous Generalized Kernel

Advances in Mathematical Physics
In this work, a nonlinear fractional integrodifferential equation (NFIo-DE) with discontinuous generalized kernel in position and time is explored in space L2Ω×C0,T ...
Abeer M. Al-Bugami, M. A. Abdou
doaj   +1 more source

Müntz–Legendre Wavelet Collocation Method for Solving Fractional Riccati Equation

Axioms
We propose a wavelet collocation method for solving the fractional Riccati equation, using the Müntz–Legendre wavelet basis and its associated operational matrix of fractional integration.
Fatemeh Soleyman, Iván Area
doaj   +1 more source

Solving singularly perturbed fredholm integro-differential equation using exact finite difference method. [PDF]

BMC Res Notes, 2023
Badeye SR, Woldaregay MM, Dinka TG.
europepmc   +1 more source

Anti-periodic boundary value problems for singular fractional p-Laplacian equations

Fixed Point Theory and Algorithms for Sciences and Engineering
In this paper, anti-periodic boundary value problems for Caputo fractional differential equations involving the p-Laplacian operator and a singular nonlinearity of the form  t − γ $t^{-\gamma}$ are studied.
Mahir Hasanov
doaj   +1 more source