Transforms And Partial Differential Equations: UNIT IV: Fourier Transforms

Introduction

Integral transforms are used in the solution of partial differential equations. The choice of a particular transform to be used for the solution of a differential equation depends upon the nature of the boundary conditions of the equation and the facility with which the transform F(s) can be converted to give f(x).

Unit-IV

FOURIER TRANSFORMS

Statement of Fourier integral theorem- Fourier transform pair- Fourier sine and cosine transforms Properties - Transforms of simple functions Convolution theorem - Parseval's identity.

 

INTRODUCTION

Integral transforms are used in the solution of partial differential equations. The choice of a particular transform to be used for the solution of a differential equation depends upon the nature of the boundary conditions of the equation and the facility with which the transform F(s) can be converted to give f(x).

Transforms And Partial Differential Equations: UNIT IV: Fourier Transforms : Tag: : - Introduction


Transforms And Partial Differential Equations: UNIT IV: Fourier Transforms



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