Discrete Heat Equation Model with
5-variables

G.Pavithra; C.Glorireena; P.Thiruselvi

doi:https://doi.org/10.14445/22315373/IJMTT-V52P537

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 52 | Number 4 | Year 2017 | Article Id. IJMTT-V52P537 | DOI : https://doi.org/10.14445/22315373/IJMTT-V52P537

Discrete Heat Equation Model with 5-variables

G.Pavithra, C.Glorireena, P.Thiruselvi

Citation :

G.Pavithra, C.Glorireena, P.Thiruselvi, "Discrete Heat Equation Model with 5-variables," International Journal of Mathematics Trends and Technology (IJMTT), vol. 52, no. 4, pp. 253-256, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V52P537

Abstract

We investigate the generalized partial difference equation 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 dimension up to five and several solutions are postulated for the same. Through numerical simulations solutions are validated and applications are derived.

Keywords

Generalized partial difference equation partial difference, operator and discrete heat.

References

[1] Bastos.N.R.O,Ferreira.R.A.C and Torres.D.F.M Discrete-Time and Fractional Varational ProbleSignal Processing, 91(3)(2011), 513-514.
[2] Britto Antony Xavier.G, Gerly.T.G and Nasira Begum.H, Finite Series of Polynomials and Polynomial Factorials arising form generalized q-Difference Operator, Far East Journal of Mathematics, 24(6)(2014), 47-63.
[3] Falcon.S and Plaza.A, ” On the Fibonacci k-number”’, Chaos, Solitons andFractals, vol.32,no.5,pp.1615-1624,2007.Solutions of discrete heat equation 4
[4] Ferreira.R.A.C and Torres.D.F.M, Fractional h-difference equations arising from the Calculus of variation,Applicable Analysis and Discrete Mathematics. 5(1)(2011), 110-121.
[5] Jerzy Popenda and Blazej Szmanda, On the Oscilltion of Solutions of Certain Difference Equations, Demonstratio Mathematica, XVII(1),(1984) 153- 164.
[6] koshy.T,Fibonacci and Lucas Number with Application, Wiley-interscience, New York,NY, USA,2001.
[7] Maria Susai Manuel.M,Chandrasekar.V and Britto Antony Xavier.G, solutionsand Applications of Certain Class of α-Difference Equations, InternationalJournal of Applied Mathematics, 24(6) (2011),943-954.
[8] Miller.K.S and Ross.B, Fractional Difference Calculus in Univalent Functions, Horwood, Chichester, UK, (1989), 139-152.
[9] Susai Manuel.M, Britto Antony Xavier.G, Chandrasekar.V and Pugalarasu.R, Theory and application of the Generalized Difference Operator of the n th kind (Part I), Demonstratio Mathematica, 45(1)(2012), 95-106.
[10] Vajda.S, Fibonacci and lucas Number, and the Goden Section, Ellis Horwood, Chichester,UK, 1989.