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Pdes iitk |
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Re: Pdes iitk
Indian Institute of Technology Kanpur is a public engineering institution located in Kanpur, Uttar Pradesh. It was declared to be an Institute of National Importance by the Government of India under the Institutes of Technology Act. The Course Content of the MSO203b: Partial Differential Equations of the IIT Kanpur is given below Sturm Liouville BVP: introduction, examples. Sturm Liouville BVP: orthogonal functions, Sturm Liouville expansions; Fourier series, convergence of Fourier series, Fourier series with arbitrary period. Fourier series: sine and cosine series, half range expansion. Fourier integrals, Fourier: Legendre series. Fourier transform. Introduction to PDE, linear, nonlinear (semi linear, quasi linear) examples, order of PDEs. First order (linear, semi linear) PDEs, interpretation, method of characteristics. First order (linear, semi linear) PDEs, general solutions. First order quasi linear PDEs, interpretation, method of characteristics, general solutions. Classification of 2nd order PDEs, Canonical form: hyperbolic equations. Canonical form: parabolic equations, elliptic equations. Wave equations: DAlemberts formula, Duhamels principle. Wave equations: solutions for initial boundary value problems. Heat equation: uniqueness and maximum principle, applications. Heat equation: solutions for initial boundary value problems. Laplace and Poisson equations: Uniqueness and maximum principle for Dirichlet problem. Laplace and Poisson equations: BVP in 2D (rectangular, polar). Laplace and Poisson equations: BVP in 3D (spherical, cylindrical) For more Information you may Contact to the IIT Kanpur the Contact Details Are given below Contact Details IIT Kanpur Address: Kalyanpur, Kanpur, Uttar Pradesh 208016 Phone: 0512 259 0151 |
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