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Physical Sciences and Mathematics

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Georgia Southern University

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2009

Fourier Parabolic (Diffusion or Heat) Equation

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On Fourier Parabolic And Wave Equation, Mekki Terbeche, Broderick O. Oluyede Jan 2009

On Fourier Parabolic And Wave Equation, Mekki Terbeche, Broderick O. Oluyede

Department of Mathematical Sciences Faculty Publications

This paper is devoted to a diffusion (heat) and wave equations for the function of two independent variables. We establish a criterion for existence and uniqueness of the solution of Fourier parabolic equation using Taylor series. A formal solution for a wave equation is investigated.