Quintic B-spline method for solving Lane-Emden problem

Ulziibayar Vandandoo; Zhanlav Tugal; Mijiddorj Renchin-Ochir; Otgondorj Khuder

doi:10.2991/978-94-6463-330-6_7

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Quintic B-spline method for solving Lane-Emden problem

Authors

Ulziibayar Vandandoo¹, Zhanlav Tugal²^{, 3}, Mijiddorj Renchin-Ochir⁴, Otgondorj Khuder¹^{, *}

¹School of Applied Sciences, Mongolian University of Science and Technology, Ulaanbaatar, Mongolia

²Institute of Mathematics and Digital Technology, Mongolian Academy of Sciences, Ulaanbaatar, Mongolia

³Department of Applied Mathematics, National University of Mongolia, Ulaanbaatar, Mongolia

⁴Department of Informatics, Mongolian National University of Education, Ulaanbaatar, Mongolia

^*Corresponding author. Email: otgondorj@gmail.com

Corresponding Author

Otgondorj Khuder

Available Online 31 December 2023.

DOI: 10.2991/978-94-6463-330-6_7 How to use a DOI?
Keywords: Quintic B-spline; Multi-point finite-difference scheme; Singular boundary value problem; Solving nonlinear systems
Abstract: This study introduces an efficient and highly accurate quintic B-spline method for solving Lane-Emden type equations which represent many scientific phenomena in astrophysics and mathematical physics. The main advantage of the obtained quintic spline is that it approximates not only a solution of the equation, but also the derivatives of solution with high accuracy. The method is applied on several test problems and the numerical results are compared with some results in the literature. Moreover, the results of numerical experiment show the efficiency of the method computationally.
Open Access: Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

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Volume Title: Proceedings of the International Conference on Applied Sciences and Engineering (ICASE 2023)
Series: Atlantis Highlights in Engineering
Publication Date: 31 December 2023
ISBN: 10.2991/978-94-6463-330-6_7
ISSN: 2589-4943
DOI: 10.2991/978-94-6463-330-6_7 How to use a DOI?
Open Access: Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

Cite this article

ris enw bib

TY  - CONF
AU  - Ulziibayar Vandandoo
AU  - Zhanlav Tugal
AU  - Mijiddorj Renchin-Ochir
AU  - Otgondorj Khuder
PY  - 2023
DA  - 2023/12/31
TI  - Quintic B-spline method for solving Lane-Emden problem
BT  - Proceedings of the International Conference on Applied Sciences and Engineering (ICASE 2023)
PB  - Atlantis Press
SP  - 52
EP  - 58
SN  - 2589-4943
UR  - https://doi.org/10.2991/978-94-6463-330-6_7
DO  - 10.2991/978-94-6463-330-6_7
ID  - Vandandoo2023
ER  -

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