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Semester 2
Partial Differential Equations 3 (SCEE09004)
Subject
Engineering
College
SCE
Credits
10
Normal Year Taken
3
Delivery Session Year
2023/2024
Pre-requisites
Course Summary
Most physical problems in science and engineering depend on changes in multiple dimensions and these problems are described by Partial Differential Equations (PDE). These equations contain 2 or more partial derivatives, for example a time and a space dimension or multiple space dimensions.This course introduces first and second order PDEs and the solution properties for different classes of PDEs. Based on these different solution properties, we will develop analytical and numerical solution methods for the different classes of PDEs.
Course Description
The course will consist of 20 lectures and 10 tutorial/lab sessions.Lectures:1.Introduction to and classification of partial differential equations (PDEs) [2 lectures]2.Analytical solution of the Laplace, heat and wave equation: separation of variables, Laplace transform method, d'Alembert and characteristics [8 lectures]3.Introduction to numerical methods for PDEs [2 lectures]4.Application of the finite difference method to the different types of PDEs: boundary value problems for stationary PDEs, initial-boundary value problems for transient PDEs, handling of different boundary conditions, accuracy and stability of the solutions [8 lectures]
Assessment Information
Written Exam 70%, Coursework 30%, Practical Exam 0%
Additional Assessment Information
Written Exam %: 70Practical Exam %: 0Coursework %: 30
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