An efficient numerical technique for Lane–Emden–Fowler boundary value problems: Bernstein collocation method
Department of Mathematics, Birla Institute of Technology Mesra, Ranchi, 835215, India
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Accepted: 25 May 2020
Published online: 5 June 2020
In this paper, we propose an efficient numerical technique for numerical solutions of the equivalent integral form of Emden–Fowler type boundary value problems (BVPs), which model many phenomena in mathematical physics and astrophysics. The Bernstein collocation method is used to convert the integral equation into a system of nonlinear equations. The iterative method is applied to solve the system numerically. The error analysis of the proposed method is provided. Several examples are provided to demonstrate the accuracy, applicability, and efficiency of the present method.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2020