Fourier Transform Methods for Partial Differential Equations

Naol Tufa Negero^1,

¹Department of Mathematics, College of Natural and Computational Science, Wollega University, P. box. 395

Cite this paper:
Naol Tufa Negero. Fourier Transform Methods for Partial Differential Equations. International Journal of Partial Differential Equations and Applications. 2014; 2(3):44-57. doi: 10.12691/ijpdea-2-3-2

Abstract

The purpose of this seminar paper is to introduce the Fourier transform methods for partial differential equations. The introduction contains all the possible efforts to facilitate the understanding of Fourier transform methods for which a qualitative theory is available and also some illustrative examples was given. The resulting Fourier transform maps a function defined on physical space to a function defined on the space of frequencies, whose values quantify the “amount” of each periodic frequency contained in the original function then inverse Fourier transform reconstructs the original function from its transform.

Keywords:
fourier transform partial differential equations

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