NOC:Partial Differential Equations (PDE) for Engineers - Solution by Separation of Variables


Lecture 1 - Introduction to PDE


Lecture 2 - Classification of PDE


Lecture 3 - Principle of Linear Superposition


Lecture 4 - Standard Eigen Value Problem and Special ODEs


Lecture 5 - Adjoint Operator


Lecture 6 - Generalized Sturm - Louiville Problem


Lecture 7 - Properties of Adjoint Operator


Lecture 8 - Separation of Variables: Rectangular Coordinate Systems


Lecture 9 - Solution of 3 Dimensional Parabolic Problem


Lecture 10 - Solution of 4 Dimensional Parabolic problem


Lecture 11 - Solution of 4 Dimensional Parabolic Problem (Continued...)


Lecture 12 - Solution of Elliptical PDE


Lecture 13 - Solution of Hyperbolic PDE


Lecture 14 - Orthogonality of Bessel Function and 2 Dimensional Cylindrical Coordinate System


Lecture 15 - Cylindrical Co-ordinate System - 3 Dimensional Problem


Lecture 16 - Spherical Polar Coordinate System


Lecture 17 - Spherical Polar Coordinate System (Continued...)


Lecture 18 - Example of Generalized 3 Dimensional Problem


Lecture 19 - Example of Application Oriented Problems


Lecture 20 - Examples of Application Oriented Problems (Continued...)