Results 81 to 90 of about 744 (92)

On Analytical Solution of Ambartsumian Equation

National Academy Science Letters, 2017
The 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
openaire   +3 more sources

A numerical treatment of the delayed Ambartsumian equation over large interval

Journal of Interdisciplinary Mathematics, 2020
In 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, Hadi Rezazadeh, Mostafa Eslami, Mohammad Mirzazadeh   +3 more
openaire   +3 more sources

Analysis of a fractional model of the Ambartsumian equation

The European Physical Journal Plus, 2018
The 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, Jagdev Singh, Dumitru Baleanu, Sushila Rathore   +3 more
openaire   +3 more sources

Iterative Methods of Solving Ambartsumian Equations. Part 2

Technical Physics, 2022
I. V. Boykov, A. A. Pivkina
openaire   +3 more sources

6 The dynamical analysis of nonlinear Ambartsumian equation via tempered Ξ-Hilfer fractional derivative on time scales

2023
S. Manikandan, K. Kanagarajan
openaire   +3 more sources

On the solution of the Ambartsumian-Chandrasekhar equation by monotone iteration processes

Journal of Computational Physics, 1975
openaire   +3 more sources

Numerical Solution of the Ambartsumian Functional Equations for a Plane Medium with Finite Thickness

Astrophysics, 2018
A 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
openaire   +1 more source

Nonlocal Initial Value Problems for Ambartsumian Equation with Hilfer Generalized Proportional Fractional Derivative

The Journal of Applied Science University, 2023
openaire   +1 more source

Dynamics and Ulam stability for Ambartsumian equation with k-Generalized Ξ-Hilfer fractional derivative

Applied Mathematics & Information Sciences Letters, 2023
openaire   +1 more source

Iterative Methods of Solving Ambartsumian Equations. Part 1

Technical Physics, 2022
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