Variational Iteration Method for Solving Partial Differential Equation arising from Modeling Heat Transfer in Human Tooth

  • A. T. Cole Federal University of Technology, Minna (+234), Nigeria
  • R. O. Olayiwola Federal University of Technology, Minna (+234), Nigeria
Keywords: VIM, Human Tooth, PDE, Mathematical Model, Heat Generation.

Abstract

The paper presents the approximate analytical solution for the partial differential equation (PDE) describing heat transfer in human tooth. The equation governing the phenomenon is solved analytically using variational iteration method (VIM). The results obtained are presented graphically and discussed. It is observed from the results obtained that the temperature was significantly influenced by the parameters.

References

R. John, "http://www2.readingeagle.com/article.aspx?id=276125," 1 January 2011. [Online].

S. Elham and J. Hossein, "Variational iteration metod: A tool for solving partial differential equations," The Journal of Mathematics and Computer Science, pp. 388-389, 2011.

J. He, "Some asymptotic methods for strongly non-linear equations," International Journal of Modern Physics, vol. 20, no. 10, pp. 1141-1199, 2006.

M. Lim, F. Xu, T. Lu and B. F. Bai, "A review of heat transfer in human tooth-experimental characterization and mathematical modeling," Dental Material Journal, pp. 501-13, 2010.

MAPLE 16, "The essential tool for for Mathematics and Modeling," 2012.

A. Majid and K. Somayeh, "A modification of He's variational Iteration Method by Taylor's series for solving second order nonlinear partial differential equations," Journal of Interpolation and Approximation in Scientific Computing, vol. 2013, pp. 1-7, 2013.

H. H. Pennes, "Analysis of tissue and arterial blood temperature in the resting human forearm," Journal of applied physiology, vol. 1, no. 2, pp. 93-122, 1 August 1948.

M. Renee and S. Amy, "Family SmileCare Center, PLC," 2018. [Online].

Published
2019-05-23
Section
Articles