Hyers-Ulam-Rassias Stability for the Heat Equation

• 作者: Maher Nazmi Qarawani
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Hyers-Ulam-Rassias STABILITY HEAT EQUATION FOURIER TRANSFORM LAPLACE TRANSFORM
• 年，卷（期）: 2013,（7）
• 页码范围: 1001-1008
• 页数: 8页
• 分类号: O1

摘要

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.