Discrete Heat Equation model of Rod by Partial Fibonacci Difference Operator with shift values

  • Authors

    • Sandra Pinelas
    • G. Britto Antony Xavier
    • S. John Borg
    • S. Jaraldpushparaj
    2018-10-02
    https://doi.org/10.14419/ijet.v7i4.10.21317
  • Partial Difference Equation, Fibonacci Difference Operator and Discrete Heat Equation.

  • Partial Fibonacci difference equation is introduced and subjected to investigation in discrete heat equation by having recourse to Fibonacci difference operator with shift values in this paper. By having Fourier law of cooling as its basis, the heat transfer in the long rod is investigated and the solutions obtained are validated by MATLAB.

     

     

  • References

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      [2] Britto Antony Xavier.G, Govindan.B, Vasantha Kumar.S.U, John Borg. S, - Series solution of generalized k-difference equation with variable coefficients, Far East Journal of Mathematical Sciences, 99(5)(2016), 699-717.

      [3] Britto Antony Xavier.G, John Borg. S, Meganathan. M, Discrete heat equation model with shift values, Applied Mathematics, 2017, 8, 1343-1350.

      [4] Jerzy Popenda and Blazej Szmanda, On the Oscillation of Solutions of Certain Difference Equations, Demonstratio Mathematica, XVII(1), (1984), 153 - 164.

      [5] Koshy.T, Fibonacci and Lucas Numbers with Applications, Wiley-Interscience, New York, NY, USA, 2001.

      [6] Maria Susai Manuel.M, Chandrasekar.V and Britto Antony Xavier.G, Solutions and Applications of Certain Class of -Difference Equations, International Journal of Applied Mathematics, 24(6) (2011), 943-954.

      [7] Sui Sun Cheng, Advances in Discrete Mathematics and Applications: Partial Difference Equations, Taylor & Francis group, London, (Volume 3), 2003.

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  • How to Cite

    Pinelas, S., Britto Antony Xavier, G., John Borg, S., & Jaraldpushparaj, S. (2018). Discrete Heat Equation model of Rod by Partial Fibonacci Difference Operator with shift values. International Journal of Engineering & Technology, 7(4.10), 706-709. https://doi.org/10.14419/ijet.v7i4.10.21317