MA8353 TPDE Notes

Anna University Regulation 2017 MECH MA8353 TPDE Notes, TRANSFORMS AND PARTIAL DIFFERENTIAL EQUATIONS Lecture Handwritten Notes for all 5 units are provided below. Download link for MECH 3rd Sem TRANSFORMS AND PARTIAL DIFFERENTIAL EQUATIONS Notes are listed down for students to make perfect utilization and score maximum marks with our study materials.

MA8353 TPDE TRANSFORMS AND PARTIAL DIFFERENTIAL EQUATIONS

OBJECTIVES:
 To introduce the basic concepts of PDE for solving standard partial differential equations.
 To introduce Fourier series analysis which is central to many applications in engineering apart
from its use in solving boundary value problems.
 To acquaint the student with Fourier series techniques in solving heat flow problems used in
various situations.
 To acquaint the student with Fourier transform techniques used in wide variety of situations.
 To introduce the effective mathematical tools for the solutions of partial differential equations
that model several physical processes and to develop Z transform techniques for discrete time
systems.

Formation of partial differential equations – Singular integrals – Solutions of standard types of first order partial differential equations – Lagrange’s linear equation – Linear partial differential equations of second and higher order with constant coefficients of both homogeneous and non-homogeneous types

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.

Classification of PDE – Method of separation of variables – Fourier Series Solutions of one dimensional wave equation – One dimensional equation of heat conduction – Steady state solution of two dimensional equation of heat conduction.

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

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MA8353 TPDE Notes

Anna University 3rd Sem MECH TPDE Lecture Handwritten Notes