Results 11 to 20 of about 95 (67)
A study of fractional order Ambartsumian equation involving exponential decay kernel
AIMS Mathematics, 2021 Récemment, les opérateurs fractionnaires non singuliers ont un rôle important dans la modélisation des problèmes du monde réel. Plus précisément, les opérateurs Caputo-Fabrizio sont utilisés pour étudier une meilleure dynamique des processus de mémoire.
Manuel De La Sen +2 more
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A comparison between Monte Carlo method and the numerical solution of the Ambartsumian-Chandrasekhar equations to unravel the dielectric response of metals [PDF]
Computational Materials Science, 2020 In this work we describe two different models for interpreting and predicting Reflection Electron Energy Loss (REEL) spectra and we present results of a study on metallic systems comparing the computational cost and the accuracy of these techniques. These approaches are the Monte Carlo (MC) method and the Numerical Solution (NS) of the Ambartsumian ...
Maurizio Dapor +2 more
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Solution of Ambartsumian Delay Differential Equation in the q-Calculus
International Journal of Analysis and Applications, 2020 The Ambartsumian equation in view of the q-calculus is investigated in this paper. This equation is of practical interest in the theory of surface brightness in the Milky Way. Two approaches are applied to obtain the closed form solution.
Abdulaziz M. Alanazi, Abdelhalim Ebaid
doaj +1 more source
AIMS Mathematics<p>The Ambartsumian delay differential equation with a variable coefficient is considered in this paper. An effective transformation is produced to convert the extended Ambartsumian equation to the pantograph model. Two kinds of analytical solutions are determined.
Rana M. S. Alyoubi +3 more
exaly +3 more sources
Balancing Accuracy, Efficiency, and Flexibility in Radiation Calculations for Dynamical Models. [PDF]
J Adv Model Earth Syst, 2019 Abstract This paper describes the initial implementation of a new toolbox that seeks to balance accuracy, efficiency, and flexibility in radiation calculations for dynamical models. The toolbox consists of two related code bases: Radiative Transfer for Energetics (RTE), which computes fluxes given a radiative transfer problem defined in terms of ...
Pincus R, Mlawer EJ, Delamere JS.
europepmc +2 more sources
Iterative methods for solving Ambartsumian’s equations. Part 1
University proceedings. Volga region. Physical and mathematical sciences, 2021 Background. Ambartsumian’s equation and its generalizations are one of the main integral equations of astrophysics, which have found wide application in many areas of physics and technology. An analytical solution to this equation is currently unknown, and the development of approximate methods is urgent.
I.V. Boykov, A.A. Shaldaeva
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Accurate Solution for the Pantograph Delay Differential Equation via Laplace Transform
Mathematics, 2023 The Pantograph equation is a fundamental mathematical model in the field of delay differential equations. A special case of the Pantograph equation is well known as the Ambartsumian delay equation which has a particular application in Astrophysics.
Reem Alrebdi, Hind K. Al-Jeaid
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Journal of Geophysical Research: Biogeosciences, Volume 128, Issue 6, June 2023., 2023 Abstract To understand surface biogeophysical processes, accurately evaluating the geographical and temporal fluctuations of soil moisture is crucial. It is well known that the surface soil moisture content (SMC) affects soil reflectance at all solar spectrum wavelengths.
Nayma Binte Nur, Charles M. Bachmann
wiley +1 more source
Simulated Lunar Surface Hydration Measurements Using Multispectral Lidar at 3 µm
Earth and Space Science, Volume 9, Issue 8, August 2022., 2022 Abstract Accurately measuring the variability of spectroscopic signatures of hydration (H2O + OH) on the illuminated lunar surface at 3 μm as a function of latitude, lunar time of day, and composition is crucial to determining the generation and destruction mechanisms of OH species and understanding the global water cycle.
D. R. Cremons, C. I. Honniball
wiley +1 more source
International Journal of Analysis and Applications, 2022 In electric trains, the current is collected via a certain device, called the Pantograph. The governing mathematical model of such physical problem is well-known as the Pantograph delay differential equation (PDDE): y’(t)=ay(t)+by(ct), where c is a ...
S. M. Khaled
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