Primordial black holes and their gravitational-wave signatures. [PDF]
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On Analytical Solution of Ambartsumian Equation
The National Academy of Sciences, India, 2017The Ambartsumian equation is used in the theory of surface brightness in milky way. This equation is a linear differential equation involving a proportional delay term. In this paper we use the Daftardar-Gejji and Jafari method to obtain analytical solution of Ambartsumian equation.
Jayvant Patade, Sachin Bhalekar
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Development of analytical solution for a generalized Ambartsumian equation
Sur la base de la dérivée conformable, un modèle généralisé de l'équation ambartsumienne est analysé dans cet article. La solution est exprimée comme une série de puissances de puissances arbitraires. De plus, la convergence de la solution série obtenue est théoriquement prouvée.
Essam El-zahar, Abdelhalim Ebaid
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A study of fractional order Ambartsumian equation involving exponential decay kernel
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 numerical treatment of the delayed Ambartsumian equation over large interval
Journal of Interdisciplinary Mathematics, 2020In this paper, a numerical technique based on matrix collocation method is presented for approximating the solution of the Ambartsumian equation in terms of the shifted Bernoulli polynomials.
Mostafa Eslami +2 more
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Iterative Methods of Solving Ambartsumian Equations. Part 2
Technical Physics, 2022I. V. Boykov, A. A. Pivkina
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Analysis of a fractional model of the Ambartsumian equation
European Physical Journal Plus, 2018The prime target of this work is to investigate a fractional model of the Ambartsumian equation. This equation is very useful to describe the surface brightness of the Milky Way. The Ambartsumian equation of fractional order is solved with the aid of the HATM.
Devendra Kumar +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]
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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On the solution of the Ambartsumian-Chandrasekhar equation by monotone iteration processes
Journal of Computational Physics, 1975exaly +2 more sources
Numerical Solution of the Ambartsumian Functional Equations for a Plane Medium with Finite Thickness
Astrophysics, 2018A numerical algorithm is used to solve the Ambartsumian functional equations for a finite layer. Calculations are done for the special case of frequency redistribution of the radiation. To do this the program first calculates the nodes of Hermite polynomials and the corresponding weights using a program package that works with a large number of ...
H. A. Harutyunian, H. A. Poghosyan
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