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Approximate polynomial solutions of the nonlinear Lane–Emden type equations arising in astrophysics using the squared remainder minimization method

✍ Scribed by Căruntu, Bogdan; Bota, Constantin

Book ID
120186842
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
440 KB
Volume
184
Category
Article
ISSN
0010-4655

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A numerical approach for solving a class
A numerical approach for solving a class of the nonlinear Lane–Emden type equations arising in astrophysics
✍ Şuayip Yüzbaşı 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 463 KB

In this paper, a collocation method based on the Bessel polynomials is presented for the approximate solution of a class of the nonlinear Lane-Emden type equations, which have many applications in mathematical physics. The exact solution can be obtained if the exact solution is polynomial. In other

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The Lane-Emden equation is Poisson's equation for the gravitational potential of a self-gravitating, spherically symmetric polytropic fluid which arises in many applications of mathematical physics and constitutes a good model for many systems in various fields. In this work, this equation is invest