Discrete $q$-heat Equation Model with Shift Values


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Authors

  • G. Britto Antony Xavier Department of Mathematics, Sacred Heart College, Tirupattur, Tamil Nadu, India
  • S. John Borg Department of Mathematics, Sacred Heart College, Tirupattur, Tamil Nadu, India
  • S. Jaraldpushparaj Department of Mathematics, Sacred Heart College, Tirupattur, Tamil Nadu, India
  • C. Sowmiya Department of Mathematics, Sacred Heart College, Tirupattur, Tamil Nadu, India

Keywords:

Generalized partial difference equation, partial $q$-difference operator, $q$-heat equation

Abstract

In this paper, we investigate the generalized $q$-partial difference operator and propose a model of it in discrete q-heat equation with shift values. The diffusion of heat is studied 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.

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Published

20-01-2018

How to Cite

G. Britto Antony Xavier, S. John Borg, S. Jaraldpushparaj, & C. Sowmiya. (2018). Discrete $q$-heat Equation Model with Shift Values. International Journal of Mathematics And Its Applications, 6(1 - B), 377–380. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/935

Issue

Vol. 6 No. 1 - B (2018)

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

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