Boundary Value Problems - Ordinary Differential Equations (Undergraduate Advanced)
Boundary value problems and Sturm???Liouville theory.
Enrolment valid for 12 months
Course Chapters
1. Introduction
1. Introduction
Welcome and course outline. Review of ordinary differential equation concepts and definitions.
2. Boundary Value Problems
2. Boundary Value Problems
Meaning, classification and existence of solutions of boundary-value problems.
3. Eigenvalues and Eigenfunctions
3. Eigenvalues and Eigenfunctions
Existence of non-trivial solutions of general boundary-value problems - eigenvalues and eigenfunctions.
4. Sturm-Liouville Problems
4. Sturm-Liouville Problems
Sturm-Liouville problems and their properties.
5. Homogeneous Boundary Value Problems
5. Homogeneous Boundary Value Problems
General solution procedure and worked examples on homogeneous boundary-value problems.
6. Non-Homogeneous Boundary Value Problems
6. Non-Homogeneous Boundary Value Problems
General solution procedure and worked examples on non- homogeneous boundary-value problems.