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The Journal of Analysis

, Volume 27, Issue 1, pp 161–172 | Cite as

Heat equation model for rod and thin plate by partial q-difference operator

  • G. Britto Antony XavierEmail author
  • S. John Borg
  • B. Govindan
  • M. Meganathan
Original Research Paper
  • 14 Downloads

Abstract

Heat equation model for homogeneous rod and thin plate based on Newton’s law of cooling is constructed by partial q-difference operator. The propagation of heat, the nature of material used and its corresponding solutions of heat equations are the focus of this paper. In particular, logarithmic solution for this heat equation model is arrived. Through numerical simulations and diagrams generated using MATLAB, solutions are validated and relevant applications are derived.

Keywords

Partial q-difference operator Partial q-difference equation Heat equation logarithmic solutions Inverse principle 

Mathematics Subject Classification

39A70 39A10 47B39 80A20 

Notes

Compliance with ethical standards

Conflict of interest

No potential conflict of interest from the authors.

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Copyright information

© Forum D'Analystes, Chennai 2018

Authors and Affiliations

  • G. Britto Antony Xavier
    • 1
    Email author
  • S. John Borg
    • 1
  • B. Govindan
    • 1
  • M. Meganathan
    • 1
  1. 1.Department of MathematicsSacred Heart CollegeTirupatturIndia

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