## THERMAL SCIENCE

International Scientific Journal

### Thermal Science - Online First

online first only
### 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**

PAPER SUBMITTED: 2018-10-15

PAPER REVISED: 2018-11-23

PAPER ACCEPTED: 2019-01-15

PUBLISHED ONLINE: 2019-03-09

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