On Solving Systems of ODEs Numerically

Temple Fay, Stephan Joubert, Andrew Mkolesia
2005 American journal of undergraduate research  
Many beginning courses on ordinary differential equations have a computer laboratory component in which the students are asked to solve initial value problems numerically. But little attention in texts is given to the question of how accurate such solutions are. In this article we offer a simple procedure that not only can provide a measure of accuracy, but also often produces superior numerical results.
doi:10.33697/ajur.2005.003 fatcat:xrsu545ewjhlhewcjqqvwy4xoy