An efficient computational approach to solving singular initial value problems for Lane–Emden type equations

作者：

Highlights：

• The general differential transformation formula is proved.

• The general formula is presented for any analytic nonlinear terms.

• No discretization, linearization or perturbation is required.

• Nonlinear differential equations are solved using the proposed formula.

摘要

•The general differential transformation formula is proved.•The general formula is presented for any analytic nonlinear terms.•No discretization, linearization or perturbation is required.•Nonlinear differential equations are solved using the proposed formula.

论文关键词：34A12,35C10,65L05,Lane–Emden equation,Polytropic equation,Isothermal gas sphere equation,Differential transformation method

论文评审过程：Received 2 October 2014, Revised 28 April 2015, Available online 11 May 2015, Version of Record 22 May 2015.

论文官网地址：https://doi.org/10.1016/j.cam.2015.04.045