Heat equation model for rod and thin plate by partial q-difference operator
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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.
KeywordsPartial q-difference operator Partial q-difference equation Heat equation logarithmic solutions Inverse principle
Mathematics Subject Classification39A70 39A10 47B39 80A20
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No potential conflict of interest from the authors.
- 6.Xavier, G. Britto Antony, B. Govindan, S. John Borg, and M. Meganathan. 2017. Finite Fourier Decomposition of Functions Using Generalized Difference Operator. Scientific Publications of the State University of Novipazar 9 (1): 47–57.Google Scholar
- 10.Xavier, G. Britto Antony, T.G. Gerly, and S.U. Vasantha Kumar. 2015. Multi-Series Solution of Generalized q-alpha Difference Equation. International Journal of Applied Engineering and Research 10: 72. (ISSN 0973 4562).Google Scholar
- 11.Xavier, G. Britto Antony, T.G. Gerly, and J. Nethravathy. 2016. Multi-Series of Generalized Fibonacci Sequence Obtained from Third Order Q-Difference Equation. Global Journal of Pure and Applied Mathematics 12 (3): 675–678.Google Scholar