Finite Differences - Numerical Analysis

Numerical differentiation (finite difference calculus) and its applications.

2

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.
[OAU, Ife] CHE 306: Engineering Analysis II
[OAU, Ife] 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.

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.

No lesson yet.

2
Divided Differences

Definition and use of divided differences.

No lesson yet.

3
First Forward and Backward Differences

Definition, geometric interpretation and use of the first forward and backward differences of error order h.

No lesson yet.

4
Higher Forward and Backward Differences

Definition and use of second and higher forward and backward differences of error order h.

No lesson yet.

5
Higher-Error-Order Forward and Backward Differences

Definition and use of forward and backward differences of error order h-squared and higher.

No lesson yet.

6
Central Differences

Definition and use of first and higher central differences of error order h.

No lesson yet.

7
Differences and Polynomials

Fitting data at a series of equally-spaced points with a polynomial, using difference expressions.

No lesson yet.