## THERMAL SCIENCE

International Scientific Journal

### TAYLOR SERIES SOLUTION FOR THE NON-LINEAR EMDEN-FOWLER EQUATIONS

**ABSTRACT**

The well-known Emden-Fowler equation is widely used to model many problems arising in thermal science, physics, and astrophysics. Although there are some analytical solutions available, the high requirement for mathematical knowledge has hindered researchers from direct applications. This paper suggests a straightforward method with a simple solution process and highly accurate results. Two examples are given to verify the accuracy and reliability of the proposed method.

**KEYWORDS**

PAPER SUBMITTED: 2020-06-08

PAPER REVISED: 2021-10-02

PAPER ACCEPTED: 2021-10-02

PUBLISHED ONLINE: 2022-07-16

**THERMAL SCIENCE** YEAR

**2022**, VOLUME

**26**, ISSUE

**Issue 3**, PAGES [2693 - 2697]

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