This course teaches students how to solve partial differential equations commonly encountered in engineering applications. The learning outcomes include understanding the solution of hyperbolic, elliptical, parabolic, and 4-dimensional problems, as well as the separation of variables in different coordinate systems. The course covers the properties of adjoint operators, the principle of linear superposition, and the classification of PDEs. The intended audience for this course is engineers seeking to enhance their skills in solving complex engineering problems using PDEs.
NOC - Partial Differential Equations for Engineers - Solution
Overview
Syllabus
Examples of Application Oriented Problems (Contd.).
Examples of Application Oriented Problems.
Example of Generalized 3 Dimensional Problem.
Spherical Polar Coordinate System (Contd.).
Spherical Polar Coordinate System.
Cylindrical Coordinate System -3 Dimensional Problem.
Solution of Hyperbolic PDE.
Solution of Elliptical PDE.
Solution of 4 Dimensional Parabolic Problem (Contd.).
Solution of 4 Dimensional Parabolic Problem.
Solution of 3 Dimensional Parabolic Problem.
Separation of variables : Rectangular Coordinate systems.
Properties of Adjoint Operator.
Generalized sturm - Louiville problem.
Adjoint operator.
Principle of Linear Superposition.
Classification of PDE.
Introduction to PDE.
Taught by
Ch 30 NIOS: Gyanamrit
Related Courses
-
Differential Equations for Engineers
4.9 -
A Complete First Course in Differential Equations
-
The Finite Element Method for Problems in Physics
4.4 -
PDE 101 - Separation of Variables or How I Learned to Stop Worrying and Solve Laplace's Equation
-
Partial Differential Equations
-
Fourier Neural Operator for Parametric Partial Differential Equations - Paper Explained
