Finite Differences - Numerical Analysis (Undergraduate Advanced)
2
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.
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
1. Introduction
Welcome and course outline. Review of elementary calculus concepts, including Taylor's series.
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2. Divided Differences
Definition and use of divided differences.
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3. First Forward and Backward Differences
Definition, geometric interpretation and use of the first forward and backward differences of error order h.
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4. Higher Forward and Backward Differences
Definition and use of second and higher forward and backward differences of error order h.
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5. Higher-Error-Order Forward and Backward Differences
Definition and use of forward and backward differences of error order h-squared and higher.
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6. Central Differences
Definition and use of first and higher central differences of error order h.
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7. Differences and Polynomials
Fitting data at a series of equally-spaced points with a polynomial, using difference expressions.
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