Meteorite Shooting as a Diffusion Problem
Author(s):
Rashmi Keshvani , Sarvajanik College of Engineering & Technology, Surat, Gujarat, India; Prof. Maulik S. Joshi, Aditya Silver oak Institute of Technology, ,Ahmedabad, Gujarat, IndiaKeywords:
Fourier Transform, Inverse Fourier Transform, Dirac Delta Function, Gaussian distribution, Mean and variance of a probability distribution, Meteorites, Refraction indexAbstract:
Diffusion problems have been problems of great interest with various initial and boundary conditions. Among those, infinite domain problems have been more interesting. Many of such problems can be solved by various methods but those which can be used for various initial functions with minor changes in the solution obtained are more attractive and efficient. Fourier transforms method and methods obtaining Gauss- Weierstrass kernel play such role among various such methods. To show this feature here in this paper, first the consequences of a local injection of heat to an infinite domain are being discussed. Solutions to such problems at different time are discussed in terms of Gaussian distributions. The theory is then extended to a meteorite shooting problem.
Other Details:
Manuscript Id | : | J4RV3I1024 |
Published in | : | Volume : 3, Issue : 1 |
Publication Date | : | 01/04/2017 |
Page(s) | : | 32-35 |