Derivation of Fundamental Solution of Heat Equation by using Symmetry Reduction
Kahsay Godifey Wubneh1, Teklay Hailay Tsegay2

1Kahsay Godifey Wubneh* , Department of Mathematics, Wollo University, Dessie, Amhara, Ethiopia.
2Teklay Hailay Tsegay, Department of Mathematics, Wollo University, Dessie, Amhara, Ethiopia.
Manuscript received on February 10, 2020. | Revised Manuscript received on February 24, 2020. | Manuscript published on March 10, 2020. | PP: 2239-2243 | Volume-9 Issue-5, March 2020. | Retrieval Number: E2996039520/2020©BEIESP | DOI: 10.35940/ijitee.E2996.039520
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Abstract: 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. 
Keywords: Partial Differential Equation, Heat Equation, Fundamental Solution of Heat Equation.
Scope of the Article: Smart Solutions – Wearable Sensors and Smart Glasses