SIGNIFICANCE OF FOURIER INTEGRAL THEOREM TO PARTIAL DIFFERENTIAL EQUATIONS A THESIS ON SIGNIFICANCE OF FOURIER INTEGRAL THEOREM TO PARTIAL DIFFERENTIAL EQUATIONS

Abstract

The Fourier integral theorem is a generalization of the Fourier series expansion. In this thesis, we solved one dimensional heat equation by using Fourier transform, Fourier sine The Fourier integral theorem is a generalization of the Fourier series expansion. In this thesis, we solved one dimensional heat equation by using Fourier transform, Fourier sine transform, Fourier cosine transform method. We also obtained the solution of heat equation by computational method. We analyzed the solutions by using Mathematica software as well as by Mat lab programming.