Research ArticleOpen AccessGoogle Scholar indexed
Discrete Heat Equation Model with Shift Values
Department of Mathematics, Sacred Heart College, Tirupattur, India
Department of Mathematics, Sacred Heart College, Tirupattur, India
Department of Mathematics, Sacred Heart College, Tirupattur, India
- 1 Department of Mathematics, Sacred Heart College, Tirupattur, India
- 2 Department of Mathematics, Sacred Heart College, Tirupattur, India
- 3 Department of Mathematics, Sacred Heart College, Tirupattur, India
Applied Mathematics·Volume 08 (2017)·Pages 1343–1350·Published 5 September 2017·DOI10.4236/am.2017.89099
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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.
KeywordsGeneralized Partial Difference EquationPartial Difference Operator and Discrete Heat Equation
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