Initial Value Problems for Ordinary Differential Equations
7. Initial Value Problems for Ordinary Differential Equations#
References:
[Sauer, 2019] Chapter 6 Ordinary Differential Equations.
[Burden et al., 2016] Chapter 5 Initial-Value Problems for Ordinary Differential Equations.
[Chenney and Kincaid, 2012] Chapter 7, Initial-Value Problems, Sections 2 to 5.
[Kincaid and Chenney, 1990] Chapter 8, Numerical Solution of Ordinary Differential Equations, Sections 0 to 6.
Before introducing various numerical methods for computing approximate solutions to ODEs, a quick of the basic concepts and some examples that will be used as test cases througout the chapter.