Civil and Environmental Engineering 2219A/B Lecture Notes - Lecture 32: Numerical Methods For Ordinary Differential Equations, Ordinary Differential Equation, Partial Differential Equation

• School: Western University
• Department: Civil and Environmental Engineering
• Course: Civil and Environmental Engineering 2219A/B
• Professor: Martha Dagnew

Document Summary

For the assignment, if it doesn"t say to use o(h) accuracy or o(h2) accuracy, then assume either one. Today we"re going to look at the main techniques of how to solve for odes with one equation. And tomorrow we"re going to extend that into a system of odes. Know how to implement the following runge-kutta (rk) methods for a single ode: Know how to implement the following rk methods for systems of odes: Def: an differential equation that consist of an unknown function and its derivatives. Des, express the rate of change of a variable as a function of variables and parameters. But like, what"s important is "how are these generated in engineering?" Combining the laws (netwon"s law, hooke"s law, etc. ) with the conservation equations (conservation of mass, momentum, etc. ) usually results in des. In this course we will be looking at initial value ordinary differential equations (odes)