Discrete Heat Equation Model with Shift Values - Applied Mathematics

AM > Vol.8 No.9, September 2017

Applied Mathematics

Volume 8, Issue 9 (September 2017)

ISSN Print: 2152-7385 ISSN Online: 2152-7393

Google-based Impact Factor: 0.58 Citations

Discrete Heat Equation Model with Shift Values ()

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DOI: 10.4236/am.2017.89099 1,111 Downloads 2,310 Views Citations

Author(s)

G. Britto Antony Xavier, S. John Borg, M. Meganathan

Affiliation(s)

Department of Mathematics, Sacred Heart College, Tirupattur, India.

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.

KEYWORDS

Generalized Partial Difference Equation, Partial Difference Operator and Discrete Heat Equation

Share and Cite:

Xavier, G. , Borg, S. and Meganathan, M. (2017) Discrete Heat Equation Model with Shift Values. Applied Mathematics, 8, 1343-1350. doi: 10.4236/am.2017.89099.

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