q-Deformed Lane Emden differential equations and its solution by q-differential transform method

Abstract

In this paper, we introduce q-anologous of Lane Emden equations as singular initial value problems. Some examples and their numerical solutions are given; the numerical and analytic results, we show the efficiency and reliability of the method.

On q,ω -differential transform method

“…A similar problem for the q-analog was examined in [42], and the classical Lane-Emden problem can be seen cited therein.…”

“…The q-analog of ODDTM (ODq-DTM) was studied in [23]. A linear q-deformed Lane-Emden equation [42], a q-Riccati type equation [1], a non-linear damped q-difference equation [27] were solved using the ODq-DTM. The q-analog of TDDTM (TDq-DTM) was investigated in [13,17], and a non-linear q-Schrödinger equation was solved in [18] using this method.…”