© Sulaymon L. Eshkabilov 2020
S. L. EshkabilovPractical MATLAB Modeling with Simulinkhttps://doi.org/10.1007/978-1-4842-5799-9_3

3. Numerical Methods for Second-Order ODEs

Sulaymon L. Eshkabilov1 
(1)
Ag & Biosystems Engineering Department, North Dakota State University, Fargo, USA
 
Second-order or higher-order ODEs are vital for a broad range of problems in physics, engineering, and natural sciences. For instance, wave equations, electromagnetic phenomena, heat conduction, and fluid mechanics are modeled with second-order or higher-order ODEs. In general, second-order ODEs take the form shown in Equation (3-1).
$$ \frac{d^2y}{dt^2}=f\left(t,y,\frac{dy}{dt}\right), $$
(3-1)

In general, the independent variable ...

Get Practical MATLAB Modeling with Simulink: Programming and Simulating Ordinary and Partial Differential Equations now with the O’Reilly learning platform.

O’Reilly members experience books, live events, courses curated by job role, and more from O’Reilly and nearly 200 top publishers.

Start your free trial