Abstract
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.
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