Author(s)

Abdullah A. Alatawi, Mona Aljoufi, Fahad M. Alharbi, Abdelhalim Ebaid

Department of Mathematics, Faculty of Sciences, University of Tabuk, Tabuk, KSA.

In this paper, a linear delay model in astronomy, called as Ambartsumian equation, is investigated by two different approaches. The first is the approximate homotopy perturbation method (HPM), while the second is a new closed-form solution for this equation. The results are presented through a table and several plots and have been compared with the relevant literature. It is revealed that the present HPM is of higher accuracy than those approximate techniques used in previously published works, when compared with the obtained analytic solution. The convergence of the new analytic solution has been also discussed.

Delay, Homotopy Perturbation Method, Analytic Solution

Alatawi, A. , Aljoufi, M. , Alharbi, F. and Ebaid, A. (2020) Investigation of the Surface Brightness Model in the Milky Way via Homotopy Perturbation Method. Journal of Applied Mathematics and Physics, 8, 434-442. doi: 10.4236/jamp.2020.83033.