MARZBAN, H. R. and HOSEINI, S. M. (2015) SOLUTION OF LANE-EMDEN TYPE EQUATIONS ARISING IN ASTROPHYSICS BASED ON A HYBRID DISCRETIZATION SCHEME. Asian Journal of Mathematics and Computer Research, 7 (3). pp. 201-214.
Full text not available from this repository.Abstract
In this paper, a composite Chebyshev nite di erence method for solving nonlinear initial-value problems is successfully implemented. The Lane -Emden type equations which have many applications in mathematical physics and astrophysics are then investigated. They are categorized as singular initial-value problems. The proposed approximation method is based on a hybrid of blockpulse functions and Chebyshev polynomials. Our approach is an extension of Chebyshev nite difference scheme. The nice properties of hybrid functions together with the well-known Chebyshev Gauss-Lobatto points are then used to transform the main problem into a system of nonlinear algebraic equations whose solution is much easier than the original one. The convergence of the method is discussed. Several numerical experiments are examined to show the e ectiveness of the suggested discretization scheme.
Item Type: | Article |
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Subjects: | Open Research Librarians > Mathematical Science |
Depositing User: | Unnamed user with email support@open.researchlibrarians.com |
Date Deposited: | 28 Dec 2023 04:55 |
Last Modified: | 28 Dec 2023 04:55 |
URI: | http://stm.e4journal.com/id/eprint/2341 |