Affiliation:
1. Department of Mathematics, Jadara University, Irbid 21110, Jordan
2. Department of Mathematics, Zarqa University, Zarqa 13110, Jordan
Abstract
<abstract><p>In this study, we develop a collocation method based on cubic B-spline functions for effectively solving the system of Lane-Emden type equations arising in physics, star structure, and astrophysics. To overcome the singularity behavior of the considered system at τ = 0, we apply the L'Hôpital rule. Furthermore, we have carried out a convergence analysis of the proposed method and have demonstrated that it has a second-order convergence. To demonstrate the effectiveness, accuracy, simplicity, and practicality of the method, five test problems are solved numerically and the maximum absolute errors of the proposed method are compared with those of some existing methods.</p></abstract>
Publisher
American Institute of Mathematical Sciences (AIMS)
Cited by
3 articles.
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