# InfoCoBuild

## Partial Differential Equations (PDE) for Engineers

Partial Differential Equations (PDE) for Engineers. Instructor: Prof. Sirshendu De, Department of Chemical Engineering, IIT Kharagpur. Modeling is essential and imperative for understanding dynamics of a large scale process. One can undertake a large number of virtual experiments based on the model equations of a process to optimize the operating conditions and/or design the system efficiently. In most of the practical processes, model equations involve more than one parameters leading to partial differential equations (PDE). Various solutions techniques are adopted by the process engineers to solve the partial differential equations. Separation of variables is one of the most robust techniques used for analytical solution of PDEs. This technique provides first hand information of process dynamics rendering it amenable for optimization of system performance. This course aims to develop the solutions techniques and hence the skills of the students to solve PDEs for any engineering applications. (from nptel.ac.in)

 Introduction

 Lecture 01 - Introduction to Partial Differential Equations Lecture 02 - Classification of Partial Differential Equations Lecture 03 - Principle of Linear Superposition Lecture 04 - Standard Eigenvalue Problem and Special ODEs Lecture 05 - Adjoint Operator Lecture 06 - Generalized Sturm-Liouville Problem Lecture 07 - Properties of Adjoint Operator Lecture 08 - Separation of Variables: Rectangular Coordinate Systems Lecture 09 - Solution of 3 Dimensional Parabolic Problem Lecture 10 - Solution of 4 Dimensional Parabolic Problem Lecture 11 - Solution of 4 Dimensional Parabolic Problem (cont.) Lecture 12 - Solution of Elliptic Partial Differential Equation Lecture 13 - Solution of Hyperbolic Partial Differential Equation Lecture 14 - Orthogonality of Bessel Function and 2 Dimensional Cylindrical Coordinate System Lecture 15 - Cylindrical Coordinate System - 3 Dimensional Problem Lecture 16 - Spherical Polar Coordinate System Lecture 17 - Spherical Polar Coordinate System (cont.) Lecture 18 - Examples of Generalized 3 Dimensional Problem Lecture 19 - Examples of Application Oriented Problems Lecture 20 - Examples of Application Oriented Problems (cont.)

 References Partial Differential Equations (PDE) for Engineers Instructor: Prof. Sirshendu De, Department of Chemical Engineering, IIT Kharagpur. Modeling is essential and imperative for understanding dynamics of a large scale process.