TITLE:
Discrete Heat Equation Model with Shift Values
AUTHORS:
G. Britto Antony Xavier, S. John Borg, M. Meganathan
KEYWORDS:
Generalized Partial Difference Equation, Partial Difference Operator and Discrete Heat Equation
JOURNAL NAME:
Applied Mathematics,
Vol.8 No.9,
September
27,
2017
ABSTRACT: We investigate the generalized partial difference operator and propose a model
of it in discrete heat equation in this paper. The diffusion of heat is studied
by the application of Newton’s law of cooling in dimensions up to three and
several solutions are postulated for the same. Through numerical simulations
using MATLAB, solutions are validated and applications are derived.