Isaac Scientific Publishing

Journal of Advances in Applied Mathematics

A New Solution to the Heat Equation in One-Dimension

Download PDF (480.2 KB) PP. 124 - 126 Pub. Date: October 1, 2018

DOI: 10.22606/jaam.2018.34002

Author(s)

  • Clement Boateng Ampadu*
    31 Carrolton Road, Boston, MA 02132-6303, USA

Abstract

Keywords

Green’s function, fundamental solution, heat equation

References

[1] Wikipedia contributors. "Heat equation." Wikipedia, The Free Encyclopedia. Wikipedia, The Free Encyclopedia, 16 Apr. 2018. Web. 31 May. 2018

[2] A. Alzaatreh, C. Lee and F. Famoye, A new method for generating families of continuous distributions, Metron, 71(1), (2013), 63-79

[3] Eugene, N, Lee, C, Famoye, F: The beta-normal distribution and its applications. Communications in Statistics-Theory and Methods 31(4), 497aAS512 (2002)

[4] Wikipedia contributors. "Normal distribution." Wikipedia, The Free Encyclopedia. Wikipedia, The Free Encyclopedia, 5 Jul. 2018. Web. 17 Jul. 2018

[5] Clement Boateng Ampadu, A Solution to a Partial Differential Equation Arising from a RandomWalk Problem with Time Dependence II, International Journal of Mathematics and Statistics Invention, ISSN (Online): 2321- 4767, ISSN (Print): 2321-4759, To Appear

[6] Ampadu, Clement B. (2010), Random Walks and Partial Differential Equations (PhD Dissertation), Retrieved from ProQuest Dissertations and Theses database. (UMI No. 3406252)

[7] R. Wojnar, Rayleigh’s Distribution, Wigner’s Surmise and Equation of the Diffusion, ACTA PHYSICA POLONICA A, Vol. 123(3) (2013), pp 624-628