TY - JOUR
ID - 15281
TI - Fractional-order Model for Cooling of a Semi-infinite Body by Radiation
JO - Journal of Advanced Mathematical Modeling
JA - JAMM
LA - en
SN - 2251-8088
AU - Esmaeili, Shahrokh
AD - Department of Mathematics, University of Kurdistan, Sanandaj, Iran
Y1 - 2020
PY - 2020
VL - 10
IS - 1
SP - 88
EP - 105
KW - Fractional differential equation
KW - Heat equation
KW - Semi-infinite body
KW - Radiation heat transfer
DO - 10.22055/jamm.2020.28911.1697
N2 - In this paper, the fractional-order model for cooling of a semi-infinite body by radiation is considered.In the supposed semi-infinite body, the equation of heat along with an initial condition and an asymptotic boundary condition form an equivalent equation in which the order of derivatives is halved.This equation and a boundary condition introduced by the radiation heat transfer give rise to an initial value problem, whose differential equation is nonlinear and fractional order.The semi-analytical solution to this nonlinear model was determined asymptotically at small and large times.Moreover, two numerical methods including Grunwald-Letnikov approximation and Muntz-Legendre approximation yield numerical solutions to the problem.
UR - https://jamm.scu.ac.ir/article_15281.html
L1 - https://jamm.scu.ac.ir/article_15281_94feec9fe604faf086e626c8718565f2.pdf
ER -