Simulation of Partial differential Equation by Fourier Transformation

Abstract

The Fourier transform is a tool for mathematics, electrical and other Engineering sciences.
The Fourier tr ansform is beneficial in differential equations because it can transform them
into equations which are easier to solve. In addition, many transformations can be made
simply by applying predefined formulas to the problems of interest. The aim of this paper is
study about Fourier transform and its application in some Partial Differential Equation. We
discussed some different types of theorems with their appropriate proofs, different types and
interesting definitions as for instance the Fourier transform and a pplications of the Fourier
transform in Partial Differential Equation.
One of applications of Fourier Transformation in
solving Partial differential equation (PDE) such as heat equation, wave equation is discussed
in the subsequent topic. In this paper, we shall study basic concepts, facts and techniques in
connection with Fourier Transform in partial differential equation PDE.