Results 61 to 70 of about 307 (168)

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
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On linear singular volterra integral equations of the second kind

Journal of Mathematical Analysis and Applications, 1984
Let \(\mu\) be a nonatomic, signed measure on the Borel sets of \([0,1]\), whose total variation measure is infinite on \([0,1]\), but finite on \([t,1]\), \(t\in (0,1)\). Let the measurable function \(k\) be defined on \(\Delta =\{(t,s):\) \(0\leq s\leq t\leq 1\}\) such that \(k(\circ,s)\) is absolutely continuous on \([s,1]\) with derivative \(k_ t ...
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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
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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
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Nondecreasing solutions of a quadratic singular Volterra integral equation

Mathematical and Computer Modelling, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Banaś, J., Rzepka, B.
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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

Singular backward stochastic Volterra integral equations in infinite dimensional spaces

Journal of Differential Equations
In this paper, the notion of singular backward stochastic Volterra integral equations (singular BSVIEs for short) in infinite dimensional space is introduced, and the corresponding well-posedness is carefully established. A class of singularity conditions are proposed, which not only cover that of fractional kernel, Volterra Heston model kernel ...
Wang, Tianxiao, Zheng, Mengliang
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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.
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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;
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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
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