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Solving Fractional Type of Astronomy Equation by Fractional Order of Rationalized Haar Operational Matrices

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Solving Fractional Type of Astronomy Equation by Fractional Order of Rationalized Haar Operational Matrices


Ali Pirkhedri



Ali Pirkhedri "Solving Fractional Type of Astronomy Equation by Fractional Order of Rationalized Haar Operational Matrices" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-6 | Issue-7, December 2022, pp.696-703, URL: https://www.ijtsrd.com/papers/ijtsrd52389.pdf

Numerical solution of fractional Lane-Emden equation which is the nonlinear singular initial value problem in astrophysics has been proposed by fractional order of Rationalized Haar operational matrices based on collocation method. The advantage of our technique is that the computational speed is high due to using the RH operational matrices and the convergence rate is exponential. We investigate two examples to test the accuracy, speed and efficiency of this new method in which these evaluations confirmed our claim.

Rationalized Haar; Operational Matrix; Collocation; Fractional Order; Lane-Emden; Exponential Convergence;


IJTSRD52389
Volume-6 | Issue-7, December 2022
696-703
IJTSRD | www.ijtsrd.com | E-ISSN 2456-6470
Copyright © 2019 by author(s) and International Journal of Trend in Scientific Research and Development Journal. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0) (http://creativecommons.org/licenses/by/4.0)

International Journal of Trend in Scientific Research and Development - IJTSRD having online ISSN 2456-6470. IJTSRD is a leading Open Access, Peer-Reviewed International Journal which provides rapid publication of your research articles and aims to promote the theory and practice along with knowledge sharing between researchers, developers, engineers, students, and practitioners working in and around the world in many areas like Sciences, Technology, Innovation, Engineering, Agriculture, Management and many more and it is recommended by all Universities, review articles and short communications in all subjects. IJTSRD running an International Journal who are proving quality publication of peer reviewed and refereed international journals from diverse fields that emphasizes new research, development and their applications. IJTSRD provides an online access to exchange your research work, technical notes & surveying results among professionals throughout the world in e-journals. IJTSRD is a fastest growing and dynamic professional organization. The aim of this organization is to provide access not only to world class research resources, but through its professionals aim to bring in a significant transformation in the real of open access journals and online publishing.

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