THERMAL SCIENCE

International Scientific Journal

Aliyu Isa Aliyu

,

Mustafa Inc

,

Abdullahi Yusuf

,

Dumitru Baleanu

APPROXIMATE SOLUTIONS AND CONSERVATION LAWS OF THE PERIODIC BASE TEMPERATURE OF CONVECTIVE LONGITUDINAL FINS IN THERMAL CONDUCTIVITY

ABSTRACT
In this paper, the residual power series method (RPSM) is used to study the numerical approximations of a model of oscillating base temperature processes occurring in a convective rectangular fin with variable thermal conductivity. It is shown that the RPSM is efficient for examining numerical behavior of nonlinear models. Further, the conservation of heat is studied using the multiplier method.
KEYWORDS
Residual power series method, numerical approximations, conservation laws.
PAPER SUBMITTED: 2018-10-15
PAPER REVISED: 2018-11-23
PAPER ACCEPTED: 2019-01-15
PUBLISHED ONLINE: 2019-03-09
DOI REFERENCE: https://doi.org/10.2298/TSCI181015040A
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2019, VOLUME 23, ISSUE Supplement, PAGES [267 - 273]
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Approximate solutions and conservation laws of the periodic base temperature of convective longitudinal fins in thermal conductivity

© 2026 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence