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Hyers-Ulam-Rassias Stability for the Heat Equation
Department of Mathematics, AlQuds Open University, Salfit, Palestine
- 1 Department of Mathematics, AlQuds Open University, Salfit, Palestine
Applied Mathematics·Volume 04 (2013)·Pages 1001–1008·Published 28 June 2013·DOI10.4236/am.2013.47137
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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.
KeywordsHyers-Ulam-Rassias StabilityHeat EquationFourier TransformLaplace Transform
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