Solution of Lane-Emden Type Differential Equations by Using Differential Transform Method
Authors
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Department of Mathematics, Swami Vivekananda University, Barrackpore 700121, West Bengal, India. ,IN
Asim Biswas -
Department of Mathematics, Swami Vivekananda University, Barrackpore 700121, West Bengal, India. ,INSubhabrata Mondal
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School of Science and Technology, The Neotia University, Diamond Harbour 743368, West Bengal, India. ,INAyan Chatterjee
DOI:
https://doi.org/10.18311/jmmf/2023/34173Keywords:
Differential Transform Method (DTM), Lane-Emden Differential Equations.Abstract
The temperature in a self-gravitating star has been widely described in astrophysics by the Lane-Emden differential equation. To solve the non-linear equations, the Lane-Emden differential equation is used as a prototype for testing new mathematical and numerical techniques. The problems of singular initial value of Lane-Emden type was solved by the Differential Transform Method in this study. This method is applicable to solve various linear and nonlinear problems which decrease size of computational work. Here, we introduced some numerical problems to describe the high accuracy and efficiency of our proposed method.
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