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This article is the author's final published version in AIMS Mathematics, Volume 9, Issue 2, January 2024, Pages 4665 - 4683.

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Copyright © 2024 the Author(s), licensee AIMS Press


In the present study, we introduce a collocation approach utilizing quintic B-spline functions as bases for solving systems of Lane Emden equations which have various applications in theoretical physics and astrophysics. The method derives a solution for the provided system by converting it into a set of algebraic equations with unknown coefficients, which can be easily solved to determine these coefficients. Examining the convergence theory of the proposed method reveals that it yields a fourth-order convergent approximation. It is confirmed that the outcomes are consistent with the theoretical investigation. Tables and graphs illustrate the proficiency and consistency of the proposed method. Findings validate that the newly employed method is more accurate and effective than other approaches found in the literature. All calculations have been performed using Mathematica software.

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Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.