Results 21 to 30 of about 667,632 (136)

Quarkonium bound-state problem in momentum space revisited [PDF]

open access: yes, 2006
A semi-spectral Chebyshev method for solving numerically singular integral equations is presented and applied in the quarkonium bound-state problem in momentum space.
Deloff, A.
core   +3 more sources

Supplementing the numerical solution of singular/hypersingular integral equations/inequalities with parametric inequality constraints with applications to crack problems

open access: yesComputer Assisted Methods in Engineering and Science, 2017
Singular and hypersingular integral equations appear frequently in engineering problems. The approximate solution of these equations by using various numerical methods is well known.
Nikolaos I. Ioakimidis
doaj   +1 more source

Approximation of the Hilbert transform in the Lebesgue spaces

open access: yesJournal of Numerical Analysis and Approximation Theory, 2023
The Hilbert transform plays an important role in the theory and practice of signal processing operations in continuous system theory because of its relevance to such problems as envelope detection and demodulation, as well as its use in relating the ...
Rashid Aliev, Lale Alizade
doaj   +1 more source

FREDHOLM PROPERTY OF COMPOSITE TWO-DIMENSIONAL INTEGRAL OPERATORS WITH HOMOGENEOUS SINGULAR-TYPE KERNELS IN pL SPACE

open access: yesAdvanced Engineering Research, 2014
The authors have previously studied two - dimensional Fredholm integral operators with homogeneous kernels of fiber - singular type. For this class of operators, the symbolic calculus is built using the theory of biloc al operators by V.
Vladimir Mikhaylovich Deundyak   +1 more
doaj   +1 more source

Numerical solution of integral equations with finite part integrals

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1999
We obtain convergence rates for several algorithms that solve a class of Hadamard singular integral equations using the general theory of approximations for unbounded operators.
Samir A. Ashour
doaj   +1 more source

Non-homogeneous impulsive time fractional heat conduction equation

open access: yesJournal of Numerical Analysis and Approximation Theory, 2023
This article provides a concise exposition of the integral transforms and its application to singular integral equation and fractional partial differential equations.
Arman Aghili
doaj   +1 more source

Space-time domain solutions of the wave equation by a non-singular boundary integral method and Fourier transform

open access: yes, 2017
The general space-time evolution of the scattering of an incident acoustic plane wave pulse by an arbitrary configuration of targets is treated by employing a recently developed non-singular boundary integral method to solve the Helmholtz equation in the
Chan, Derek Y. C.   +2 more
core   +1 more source

AN APPROXIMATE METHODS FOR SOLVING POLYSINGULAR INTEGRAL EQUATIONS IN DEGENERATE CASES

open access: yesИзвестия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020
Background. This work is devoted to the study of sets of functions in which the condition of unique solvability of degenerate polysingular integral equations is satisfied, and to the construction of approximate methods for solving polysingular integral
I. V. Boykov   +2 more
doaj   +1 more source

SOLUTION OF A TWO-DIMENSIONAL BOUNDARY VALUE PROBLEM OF HEAT CONDUCTION IN A DEGENERATING DOMAIN

open access: yesВестник КазНУ. Серия математика, механика, информатика, 2021
In the paper we consider the boundary value problem of heat conduction outside the cone, i.e. in the domain degenerating into a point at the initial moment of time.
M. I. Ramazanov   +1 more
doaj   +1 more source

On Weighted Hadamard-Type Singular Integrals and Their Applications

open access: yesAbstract and Applied Analysis, 2007
By means of an expression with a kind of integral operators, some properties of the weighted Hadamard-type singular integrals are revealed. As applications, the solution for certain strongly singular integral equations is discussed and illustrated.
Yong Jia Xu
doaj   +1 more source

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