Boundary Value Problems - Ordinary Differential Equations
Boundary value problems and Sturm–Liouville theory.
$ 10.00
Payment required for enrolment
Enrolment valid for 12 months
This course is also part of the following learning track. You may join the track to gain comprehensive knowledge across related courses.
CHE 306: Engineering Analysis IIAdvanced engineering mathematics covering numerical and analytical methods of engineering analysis.
Curated for third-year students of engineering at Obafemi Awolowo University, Ile-Ife, Nigeria. Students and professionals with similar learning goal will also find this learning track useful.
CHE 306: Engineering Analysis II
Advanced engineering mathematics covering numerical and analytical methods of engineering analysis.
Curated for third-year students of engineering at Obafemi Awolowo University, Ile-Ife, Nigeria. Students and professionals with similar learning goal will also find this learning track useful.
Course Chapters
1Introduction
1
Welcome and course outline. Review of ordinary differential equation concepts and definitions.
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2Boundary Value Problems
2
Meaning, classification and existence of solutions of boundary-value problems.
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3Eigenvalues and Eigenfunctions
3
Existence of non-trivial solutions of general boundary-value problems - eigenvalues and eigenfunctions.
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4Sturm-Liouville Problems
4
Sturm-Liouville problems and their properties.
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5Homogeneous Boundary Value Problems
5
General solution procedure and worked examples on homogeneous boundary-value problems.
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6Non-Homogeneous Boundary Value Problems
6
General solution procedure and worked examples on non- homogeneous boundary-value problems.
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