  Inspired by responses to the work (arXiv:1310.6514), we solved the
one-dimensional, nonlinear Fourier initial and boundary condition problem using
the finite element method. Examination of all possible parameters reveals the
following: 1. Hydrogen bond has memory effect to emit energy at a rate, or with
a relaxation time, depending on initial energy storage. 2. Skin super-solidity
creates gradients in thermal diffusion coefficient for heat conduction in
liquid with the optimal skin-bulk ratio of 1.48. 3. Convection alone produces
no such effect. 4. Mpemba effect happens only in the highly non-diabetic
source-path-drain cycling system.
