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TPDE Anna University Question Paper Don’t worry I will get the Anna University, ransforms and Partial Differential Equations subject syllabus on which paper is based, so that you can get idea. Here is the syllabus UNIT I PARTIAL DIFFERENTIAL EQUATIONS 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. UNIT II 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 III APPLICATIONS OF PARTIAL DIFFERENTIAL EQUATIONS Classification of PDE – Method of separation of variables - Solutions of one dimensional wave equation - One dimensional equation of heat conduction – Steady state solution of two dimensional equation of heat conduction (excluding insulated edges). 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. UNIT V Z - TRANSFORMS AND DIFFERENCE EQUATIONS Z- transforms - Elementary properties – Inverse Z - transform (using partial fraction and residues) – Convolution theorem - Formation of difference equations – Solution of difference equations using Z - transform. Address:- Anna University Sardar Patel Road, Guindy, Chennai, Tamil Nadu 600025 Phone:- 044 2235 7004 Last edited by Neelurk; March 17th, 2020 at 10:55 AM. |
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