Open AccessDerivation of Fundamental Solution of Heat Equation by u sing Symmetry Reduction
Author(s) -
Kahsay Godifey Wubneh,
Teklay Hailay Tsegay
Publication year - 2020
Publication title -
international journal of innovative technology and exploring engineering
Language(s) - English
Resource type - Journals
ISSN - 2278-3075
DOI - 10.35940/ijitee.e2996.039520
Subject(s) - partial differential equation , reduction (mathematics) , symmetry (geometry) , heat equation , differential equation , first order partial differential equation , mathematics , separable partial differential equation , thermodynamics , mathematical analysis , physics , ordinary differential equation , differential algebraic equation , geometry
The objective of this article is to present the fundamental solution of heat equation using symmetry of reduction which is associated with partial derivatives of heat equations through its initial conditions ICs) To emphasize our main results, we also consider some important way of solving of partial differential equation. The main results of our paper are quite general in nature and yield a very large interesting fundamental solution of heat equation and it is used for problems of differential mathematics and mathematical physics special in the area of thermodynamics