Taylor series solution for the non-linear Emden-Fowler equations

Liang, Yan-Hong; Wang, Kang‐Jia

doi:10.2298/tsci2203693l

Search citation statements

Order By: Relevance

Paper Sections

Select...

Fig 2 Schematic Of a Porous Fin1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2023

Publication Types

Select...

Article1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

(1 citation statement)

References 26 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In the following content, we mainly try to solve Eq. (2.1) by using the fractal two-scale transform and Taylor series method [32][33][34][35].…”

Section: Fig 2 Schematic Of a Porous Finmentioning

confidence: 99%

A new fractal model of the convective-radiative fins with temperature-dependent thermal conductivity

Wang

Shi

2023

THERM SCI

View full text Add to dashboard Cite

In this paper, the convective-radiative fins of rectangular profile with temperature-dependent thermal conductivity are considered. By studying the conventional heat transfer equation, its modified fractal form, which can describe the problem in the porous medium, is presented based on He?s fractal derivative for the first time. The fractal two-scale transform method together with the Taylor series are applied to deal with fractal model, and an analytical approximate solution is obtained. The impact of the different fractal orders on the thermal behavior of the fins is also elaborated in detail. In addition, a comparison between our solution and the existing one is given to prove the correctness of the proposed method, which shows that the proposed method is easy but effective, and are expected to shed a bright light on practical applications of fractal calculus.

show abstract

“…In the following content, we mainly try to solve Eq. (2.1) by using the fractal two-scale transform and Taylor series method [32][33][34][35].…”

Section: Fig 2 Schematic Of a Porous Finmentioning

confidence: 99%