Technical report: numerical estimation of cooling time of roasted potato / Nik Siti Nor Shahira Nik Omar, Noredawati Azizan and Nurain Zulaikha Husin

In this project, the numerical estimation time of cooling of roasted potato is determined by using Newton's law of cooling. In order to estimate cooling time, t, we need to rearrange Newton Law of Cooling since the ordinary differential equation is autonomous differential equation. The three numerical technique are Euler's Method, Taylor's series of order two and Backward Differentiation Formula with order of two (BDF2) to determine the estimation time of cooling. The error accuracy is identified by comparing absolute relative percentage error to choose the best numerical estimation among those three method. Parametric study is done in order to determine how parameter such as ambient temperature, Ta and rate cooling constant, k effect the reading of time of cooling.