Results 21 to 30 of about 37,013 (235)
Conditioning bounds for traveltime tomography in layered media [PDF]
, 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
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A M\"untz-Collocation spectral method for weakly singular volterra integral equations [PDF]
, 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
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On the Kolmogorov--Wiener--Masani spectrum of a multi-mode weakly stationary quantum process [PDF]
, 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
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A Product Integration type Method for solving Nonlinear Integral Equations in L
, 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.
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Journal 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
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Approximation Solution of Fuzzy Singular Volterra Integral Equation by Non-Polynomial Spline
Ibn 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
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Advances 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
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Electromagnetic wave scattering by small bodies
, 2008 A reduction of the Maxwell's system to a Fredholm second-kind integral equation with weakly singular kernel is given for electromagnetic (EM) wave scattering by one and many small bodies.
A.G. Ramm +13 more
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Singularly perturbed Volterra integral equations with weakly singular kernels
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 ...
Angelina Bijura
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Mathematical Modelling and Analysis, 2020 In this paper, we apply Legendre-Laguerre functions (LLFs) and collocation method to obtain the approximate solution of variable-order time-fractional partial integro-differential equations (VO-TF-PIDEs) with the weakly singular kernel.
Haniye Dehestani +2 more
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