Transform and Partial Differential Equations (Anna University)

Product Code: TPDE1
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Price: ₹360.00 ₹230.00

Author: G. Balaji
Publication: Balaji

UNIT I
FOURIER SERIES        
Dirichlet’s conditions – General fourier series – Odd and even functions – Half range
sine series – Half range cosine series – Complex form of fourier series – Parseval’s
identity – Harmonic analysis.
UNIT II
FOURIER TRANSFORMS   
Fourier integral theorem (Without Proof) – Fourier transform pair – Sine and
cosine transforms – Properties – Transforms of simple functions – Convolution
theorem – Parseval’s identity.

UNIT III
 PARTIAL DIFFERENTIAL EQUATIONS  
Formation of partial differential equations – Lagrange’s linear equation – Solutions of
standard types of first order partial differential equations – Linear partial differential
equations of second and higher order with constant coefficients.
UNIT IV
APPLICATIONS OF PARTIAL DIFFERENTIAL EQUATION  
Solutions of one dimensional wave equation – One dimensional equation of heat
conduction – Steady state solution of two-dimensional equation of heat conduction
(Insulated Edges Excluded) – Fourier series solutions in cartesian coordinates.
 
UNIT V
 Z –TRANSFORMS AND DIFFERENCE EQUATIONS
Z-Transforms – Elementary properties – Inverse Z-transform – Convolution theorem
– Formation of difference equations – Solution of difference equations using Ztransform.

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