An ODE relates an unknown function of one independent variable to its derivatives. Numerical methods commonly solve initial-value and boundary-value problems.
Governing Formulady/dx = f(x,y)
Knowledge Check
10 Questions
1.What is the primary purpose of ordinary differential equations?
2.Which practice improves reliability when applying ordinary differential equations?
3.What is a common numerical concern in ordinary differential equations?
4.Why are tolerances used in ordinary differential equations algorithms?
5.What should be compared when validating a ordinary differential equations result?
6.What can happen when algorithm settings are poorly selected in ordinary differential equations?
7.Which engineering habit is important when documenting ordinary differential equations?
8.What does convergence usually indicate in ordinary differential equations?
9.Why should physical engineering judgment still be applied to ordinary differential equations results?
10.Which factor can most directly affect the computational cost of ordinary differential equations?