Results 21 to 30 of about 36,781 (141)

Computational method for solving weakly singular Fredholm integral equations of the second kind using an advanced barycentric Lagrange interpolation formula

open access: yesAdvanced Modeling and Simulation in Engineering Sciences, 2021
In this study, we applied an advanced barycentric Lagrange interpolation formula to find the interpolate solutions of weakly singular Fredholm integral equations of the second kind.
E. S. Shoukralla   +2 more
doaj   +1 more source

Conditioning bounds for traveltime tomography in layered media [PDF]

open access: yes, 2011
This paper revisits the problem of recovering a smooth, isotropic, layered wave speed profile from surface traveltime information. While it is classic knowledge that the diving (refracted) rays classically determine the wave speed in a weakly well-posed ...
Abramowitz M   +18 more
core   +3 more sources

A M\"untz-Collocation spectral method for weakly singular volterra integral equations [PDF]

open access: yes, 2019
In this paper we propose and analyze a fractional Jacobi-collocation spectral method for the second kind Volterra integral equations (VIEs) with weakly singular kernel $(x-s)^{-\mu ...
Azaiez, Mejdi   +3 more
core   +2 more sources

New Integral Inequalities with Weakly Singular Kernel for Discontinuous Functions and Their Applications to Impulsive Fractional Differential Systems

open access: yesJournal of Applied Mathematics, 2014
Some new integral inequalities with weakly singular kernel for discontinuous functions are established using the method of successive iteration and properties of Mittag-Leffler function, which can be used in the qualitative analysis of the solutions to ...
Jing Shao
doaj   +1 more source

Some remarks on the model of rigid heat conductor with memory: unbounded heat relaxation function [PDF]

open access: yes, 2019
The model of rigid linear heat conductor with memory is reconsidered focussing the interest on the heat relaxation function. Thus, the definitions of heat flux and thermal work are revised to understand where changes are required when the heat flux ...
Carillo, Sandra
core   +1 more source

Approximation Solution of Fuzzy Singular Volterra Integral Equation by Non-Polynomial Spline

open access: yesIbn Al-Haitham Journal for Pure and Applied Sciences, 2023
A non-polynomial spline (NPS) is an approximation method that relies on the triangular and polynomial parts, so the method has infinite derivatives of the triangular part of the NPS to compensate for the loss of smoothness inherited by the polynomial. In
Zahraa A. Ibrahim, Nabaa N. Hasan
doaj   +1 more source

A Product Integration type Method for solving Nonlinear Integral Equations in L

open access: yes, 2016
This paper deals with nonlinear Fredholm integral equations of the second kind. We study the case of a weakly singular kernel and we set the problem in the space L 1 ([a, b], C). As numerical method, we extend the product integration scheme from C 0 ([a,
Ahues, M., Grammont, L., Kaboul, H.
core   +5 more sources

Localized Frames and Compactness [PDF]

open access: yes, 2015
We introduce the concept of weak-localization for generalized frames and use this concept to define a class of weakly localized operators. This class contains many important operators, including: Short Time Fourier Transform multipliers, Calderon ...
Batayneh, Fawwaz, Mitkovski, Mishko
core   +1 more source

Fractional-order Euler functions for solving fractional integro-differential equations with weakly singular kernel

open access: yesAdvances in Difference Equations, 2018
In this paper, a new set of functions called fractional-order Euler functions (FEFs) is constructed to obtain the solution of fractional integro-differential equations.
Yanxin Wang, Li Zhu, Zhi Wang
doaj   +1 more source

On the Kolmogorov--Wiener--Masani spectrum of a multi-mode weakly stationary quantum process [PDF]

open access: yes, 2016
We introduce the notion of a $k$-mode weakly stationary quantum process $\varrho$ based on the canonical Schr\"odinger pairs of position and momentum observables in copies of $L^2(\mathbb{R}^k)$, indexed by an additive abelian group $D$ of countable ...
Parthasarathy, K. R.   +1 more
core   +3 more sources

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