Interval Abel integral equation
Sign Up to like & getrecommendations! Published in 2017 at "Soft Computing"
DOI: 10.1007/s00500-015-1980-2
Abstract: In this paper, we use a generalization of the Riemann–Liouville fractional integral for interval-valued functions to study a theory of the interval Abel integral equation (IAIE). Our aim is to clarify under which suitable conditions… read more here.
Keywords: interval abel; integral equation; abel integral;
Investigation of Plane Defects in a Dielectric Wafer by Spectral-Domain Integral Equation Method
Sign Up to like & getrecommendations! Published in 2017 at "Computational Mathematics and Modeling"
DOI: 10.1007/s10598-016-9345-y
Abstract: The spectral-domain volume integral equation is used to develop a computer model for investigating the scattering properties of plane objects in the form of elliptical cylinders embedded in a dielectric wafer. The features of the… read more here.
Keywords: dielectric wafer; integral equation; spectral domain; plane ... See more keywords
The Integral-Equation Method in Low-Frequency Electrodynamics of Nonhomogeneous Contrast Media
Sign Up to like & getrecommendations! Published in 2018 at "Computational Mathematics and Modeling"
DOI: 10.1007/s10598-018-9386-5
Abstract: The article analyzes computations of low-frequency electrodynamic fields in a nonhomogeneous conducting medium using the integral equation method. Contrast effects arise when the nonhomogeneities are embedded in a low-conductivity medium. As the conductivity of the… read more here.
Keywords: low frequency; integral equation; equation method; electrodynamics ... See more keywords
Coupling of boundary integral equation and finite element methods for transmission problems in acoustics
Sign Up to like & getrecommendations! Published in 2018 at "Numerical Algorithms"
DOI: 10.1007/s11075-018-0610-3
Abstract: In this paper, we propose a coupling of finite element method (FEM) and boundary integral equation (BIE) method for solving acoustic transmission problems in two dimensions. The original transmission problem is firstly reduced to a… read more here.
Keywords: acoustics; finite element; integral equation; transmission problems ... See more keywords
Resolving double-sided inverse heat conduction problem using calibration integral equation method
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Central South University"
DOI: 10.1007/s11771-019-4157-9
Abstract: In this paper, a novel calibration integral equation is derived for resolving double-sided, two-probe inverse heat conduction problem of surface heat flux estimation. In contrast to the conventional inverse heat conduction techniques, this calibration approach… read more here.
Keywords: integral equation; inverse heat; heat conduction; calibration ... See more keywords
Chebyshev collocation treatment of Volterra–Fredholm integral equation with error analysis
Sign Up to like & getrecommendations! Published in 2019 at "Arabian Journal of Mathematics"
DOI: 10.1007/s40065-019-0243-y
Abstract: This work reports a collocation algorithm for the numerical solution of a Volterra–Fredholm integral equation (V-FIE), using shifted Chebyshev collocation (SCC) method. Some properties of the shifted Chebyshev polynomials are presented. These properties together with… read more here.
Keywords: chebyshev collocation; fredholm integral; integral equation; equation ... See more keywords
A numerical approximation of the two-dimensional elastic wave scattering problem via integral equation method
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DOI: 10.1016/j.apnum.2016.11.009
Abstract: In this paper, a numerical method is proposed to approximate the solution of a two-dimensional scattering problem of time-harmonic elastic wave from a rigid obstacle. By Helmholtz decomposition, the scattering problem is reduced to a… read more here.
Keywords: elastic wave; integral equation; method; two dimensional ... See more keywords
Integral equation theory for the study of structure and thermodynamics and scaling-aggregation of droplets within Pickering emulsions versus the salt-concentration
Sign Up to like & getrecommendations! Published in 2020 at "Chinese Journal of Physics"
DOI: 10.1016/j.cjph.2020.11.012
Abstract: Abstract In this work, we aim at the study of the statistical and thermal properties of the oil-in-water Pickering emulsions which are stabilized by strongly adsorbed charged nanoparticles on the surfaces of their droplets. In… read more here.
Keywords: integral equation; pickering emulsions; thermodynamics; equation theory ... See more keywords
The frequency averaged normal-derivative integral equation to predict frequency averaged quadratic pressure radiated from structures
Sign Up to like & getrecommendations! Published in 2017 at "Engineering Analysis With Boundary Elements"
DOI: 10.1016/j.enganabound.2017.07.016
Abstract: Abstract Frequency averaged normal-derivative Helmholtz integral equation is proposed to get robust predictions of the frequency averaged quadratic pressure (FAQP) radiated from the structures at medium and high frequencies. The non-uniqueness problem of frequency averaged… read more here.
Keywords: integral equation; frequency; averaged normal; frequency averaged ... See more keywords
Analysis of 2D anisotropic thermoelasticity involving constant volume heat source by directly transformed boundary integral equation
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DOI: 10.1016/j.enganabound.2018.03.022
Abstract: Abstract For treating 2D anisotropic thermoelasticity without heat sources, a new volume-to-surface integral transformation has been reported, where no coordinate transformation is involved. In that approach, it is still inevitable to add an extra line… read more here.
Keywords: integral equation; volume; anisotropic thermoelasticity; heat ... See more keywords
A log-linear time algorithm for the elastodynamic boundary integral equation method
Sign Up to like & getrecommendations! Published in 2021 at "Engineering Analysis with Boundary Elements"
DOI: 10.1016/j.enganabound.2021.08.026
Abstract: We present a fast algorithm with small memory storage to compute the spatiotemporal boundary integral equation method (ST-BIEM) particularly for the elastodynamic problem. The time complexity of the spatiotemporal convolution and memory consumption to store… read more here.
Keywords: boundary integral; time; method; equation method ... See more keywords