Results 91 to 100 of about 2,553,181 (201)

On an integral equation of the Dirichlet problem for the heat equation in the degenerating domain

Қарағанды университетінің хабаршысы. Математика сериясы, 2016
This paper considers the first boundary value problem of heat conduction in a degenerating domain with a moving boundary, the boundary of the domain moves at a variable velocity.
M.T. Kosmakova
doaj  

On the functional-integral equation of Volterra type with weakly singular kernel [PDF]

Publications de l'Institut Mathematique, 2008
We give sufficient conditions for the existence of Lp-solution of a Volterra functional-integral equation in a Banach space. Our assumptions and proofs are expressed in terms of measures of noncompactness.
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Distributed-memory parallelization of an explicit time-domain volume integral equation solver on Blue Gene/P [PDF]

, 2012
Two distributed-memory schemes for efficiently parallelizing the explicit marching-on in-time based solution of the time domain volume integral equation on the IBM Blue Gene/P platform are presented.
Cheeseman, M, Bağcı, H, Al-Jarro, A
core  

The Problem of Eigenvalues in Some Singular Homogeneous Volterra Integral Equations [PDF]

Proceedings of the American Mathematical Society, 1974
It is shown that when the kernel of a homogeneous Volterra integral equation is singular, it is possible for there to be a continuous spectrum of eigenvalues.
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Capacitary measures for completely monotone kernels via singular control [PDF]

We give a singular control approach to the problem of minimizing an energy functional for measures with given total mass on a compact real interval, when energy is defined in terms of a completely monotone kernel.
Alexander Schied, Aurélien Alfonsi
core  

Convergence Analysis of the Tau Method for Volterra–Fredholm Integrodifferential Equations With Weakly Singular Kernel

Journal of Applied Mathematics
This work focuses on the analysis of the Volterra–Fredholm integral equation (VFIE) with a weakly singular kernel, which is a transformed form of a partial integrodifferential equation (PIDE) with a weakly singular kernel. We present an approach based on
Javad Shokri, Saeed Pishbin, Ahmed M. Rajab   +2 more
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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
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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
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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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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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