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On Analytical Solution of Ambartsumian Equation
National Academy Science Letters, 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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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.
Waleed Adel +3 more
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Analysis of a fractional model of the Ambartsumian equation
The 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 +3 more
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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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Iterative Methods of Solving Ambartsumian Equations. Part 2
Technical Physics, 2022I. V. Boykov, A. A. Pivkina
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