Results 11 to 20 of about 11,165 (303)

An improved smoothed particle hydrodynamics approach using new inverse kernel function

Journal of Ocean Engineering and Science, 2022
The main limitation of Smoothed Particle Hydrodynamics (SPH) method that resists the method's potential is its lack of providing stability and accuracy to the numerical technique.
J.R. Rajapriyadharshini
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Single-Logarithmic Corrections to Small-$x$ Helicity Evolution

SciPost Physics Proceedings, 2022
The small-$x$ quark helicity evolution equations at double-logarithmic order, with the kernel $\sim\alpha_s\ln^2(1/x)$, have been derived previously. In this work, we derive the single-logarithmic corrections to the equations, to order $\alpha_s\ln(1 ...
Yossathorn Tawabutr
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Helicity evolution at small x: the single-logarithmic contribution

Journal of High Energy Physics, 2022
We calculate single-logarithmic corrections to the small-x flavor-singlet helicity evolution equations derived recently [1–3] in the double-logarithmic approximation.
Yuri V. Kovchegov, Andrey Tarasov, Yossathorn Tawabutr   +2 more
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An Algorithm for the Solution of Nonlinear Volterra–Fredholm Integral Equations with a Singular Kernel

Fractal and Fractional, 2023
The nonlinear Volterra–Fredholm integral Equation (NVFIE) with a singular kernel is discussed such that the kernel of position can take the Hilbert kernel form, Carleman function, logarithmic form, or Cauchy kernel. Using the quadrature method, the NVFIE
Sahar M. Abusalim, Mohamed A. Abdou, Mohamed E. Nasr, Mohamed A. Abdel-Aty   +3 more
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Logarithmic correction to the entropy of extremal black holes in N $$ \mathcal{N} $$ = 1 Einstein-Maxwell supergravity

Journal of High Energy Physics, 2021
We study one-loop covariant effective action of “non-minimally coupled” N $$ \mathcal{N} $$ = 1, d = 4 Einstein-Maxwell supergravity theory by heat kernel tool.
Gourav Banerjee, Sudip Karan, Binata Panda   +2 more
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Fractional operators with Kaniadakis logarithm kernels

INTERMATHS, 2022
In this article, more general types of fractional operators with κ-deformed logarithm kernels are proposed. We analyse the new operators and prove various facts about them, including a semi group property. Results of existence are established in appropriate functional spaces. We prove that these results are valid at once for several standard fractional
Ana Paula Perovano, Fernando Santos Silva   +1 more
openaire   +2 more sources

On Inner Expansions for a Singularly Perturbed Cauchy Problem with Confluent Fuchsian Singularities

Mathematics, 2020
A nonlinear singularly perturbed Cauchy problem with confluent Fuchsian singularities is examined. This problem involves coefficients with polynomial dependence in time.
Stephane Malek
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Blow-Up for a Stochastic Viscoelastic Lamé Equation with Logarithmic Nonlinearity

Journal of Function Spaces, 2021
In this paper, we consider an initial boundary value problem of stochastic viscoelastic wave equation with nonlinear damping and logarithmic nonlinear source terms. We proved a blow-up result for the solution with decreasing kernel.
Amina Benramdane, Nadia Mezouar, Mohammed Sulaiman Alqawba, Salah Mahmoud Boulaaras, Bahri Belkacem Cherif   +4 more
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An Asymptotic Model for Solving Mixed Integral Equation in Position and Time

Journal of Mathematics, 2022
In this paper, we considered a mixed integral equation (MIE) of the second kind in the space L2−b,b×C0,T ...
A. R. Jan
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On Solvability of the Sonin–Abel Equation in the Weighted Lebesgue Space

Fractal and Fractional, 2021
In this paper we present a method of studying a convolution operator under the Sonin conditions imposed on the kernel. The particular case of the Sonin kernel is a kernel of the fractional integral Riemman–Liouville operator, other various types of the ...
Maksim V. Kukushkin
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