Hyers-Ulam-Rassias Stability for the Heat Equation

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. n 

Stability of Functional Inequalities With 3k-Variable Based on Jordan-Von Neumann Type Additive Functional Equations in Banach Space

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