TITLE:
Hyers-Ulam-Rassias Stability for the Heat Equation
AUTHORS:
Maher Nazmi Qarawani
KEYWORDS:
Hyers-Ulam-Rassias Stability; Heat Equation; Fourier Transform; Laplace Transform
JOURNAL NAME:
Applied Mathematics,
Vol.4 No.7,
July
5,
2013
ABSTRACT: In this paper we apply the Fourier transform to prove the Hyers-Ulam-Rassias stability for one dimensional heat equation on an infinite rod. Further, the paper investigates the stability of heat equation in with initial condition, in the sense of Hyers-Ulam-Rassias. We have also used Laplace transform to establish the modified Hyers-Ulam-Rassias stability of initial-boundary value problem for heat equation on a finite rod. Some illustrative examples are given.