TY - JOUR TI - Approximate solutions and conservation laws of the periodic base temperature of convective longitudinal fins in thermal conductivity AU - Aliyu Aliyu Isa AU - Inc Mustafa AU - Yusuf Abdullahi AU - Baleanu Dumitru JN - Thermal Science PY - 2019 VL - 23 IS - 11 SP - 267 EP - 273 PT - Article AB - 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.