Results 261 to 270 of about 102,837 (286)

Riesz Potential With Logarithmic Kernel in Generalized Hölder Spaces

2021
The multidimensional Riesz potential type operators are of interest within mathematical modelling in economics, mathematical physics, and other, both theoretical and applied, disciplines as they play a significant role for analysis on fractal sets. Approaches of operator theory are relevant to researching various equations, which are widespread in ...
Boris Grigorievich Vakulov, Yuri Evgenievich Drobotov   +1 more
openaire   +1 more source

Diffusion Kernels of Logarithmic Type

1988
Let X be a locally compact, non-compact Hausdorff space with countable basis. We denote by: CK(X) the usual topological vector space of all finite continuous functions with compact support; C(X) the usual Frechet space of all finite continuous functions on X; MK(X) the usual topological vector space of all real Radon measures with ...
openaire   +1 more source

Solving integral equations with logarithmic kernels by Chebyshev polynomials

Numerical Algorithms, 2008
For the numerical solution of Volterra integral equations with logarithmic kernels \[ y(t) = g(t) + \int_0^t \ln (t-s) f(t,s,y(s)) \,ds \] with \((\nu+1)\) times differentiable functions \(f\) and \(g\), a fully discrete collocation method is proposed.
Khater, A.H., Shamardan, A.B., Callebaut, Dirk, Sakran, M.R.A.   +3 more
openaire   +3 more sources

Logarithmic functions are eigenfunctions of integral operators with M-Wright kernels

Journal of Computational and Applied Mathematics, 2021
Let \[M_{\beta } (z)=\sum _{n=0}^{\infty }\frac{(-1)^{n} z^{n} }{n!\Gamma (-\beta n+1-\beta )} \quad ...
openaire   +1 more source

Singularity preserving Galerkin method for Hammerstein equations with logarithmic kernel

Advances in Computational Mathematics, 1998
The authors extend the results obtained by \textit{Y. Cao} and \textit{Y. Xu} [J. Integral Equations Appl. 6, No. 3, 303-334 (1994; Zbl 0819.65139)] concerning the Galerkin method for weakly singular Fredholm integral equations that preserves the singularity of the solution.
Kaneko, Hideaki, Noren, Richard D., Padilla, Peter A.   +2 more
openaire   +2 more sources

Numerical solution of an integral equation with a logarithmic kernel

BIT, 1971
When formulating boundary value problems within different branches of mathematical physics, one encounters an integral equation whose kernel is equal to the logarithm of the distance between two points on a plane, closed, smooth, and simple curve. This equation can be replaced by a system of linear algebraic equations which can be solved numerically.
openaire   +1 more source

Piecewise Polynomial Collocation for Volterra Integral Equations with Logarithmic Kernels

2012
We propose a numerical method for solving linear Volterra integral equations of the second kind with logarithmic kernels which, in addition to a diagonal singularity, may have a weak boundary singularity. The attainable order of global and local convergence of proposed algorithms is discussed and a collection of numerical results is given.
M. Kolk, A. Pedas
openaire   +1 more source

Estimation on the Walsh--Fejer and Walsh logarithmic kernels

Publicationes Mathematicae Debrecen, 2019
Gyorgy Gat, Gabor Lucskai
openaire   +1 more source

Probabilistic wind power forecasting based on logarithmic transformation and boundary kernel

Energy Conversion and Management, 2015
Yao Zhang, Jian-Xue Wang
exaly  

Investigation of the logarithmic-KdV equation involving Mittag-Leffler type kernel with Atangana–Baleanu derivative

Physica A: Statistical Mechanics and Its Applications, 2018
Mustafa Inc, Abdullahi Yusuf, Aliyu Isa Aliyu   +2 more
exaly