Computational Physics II; outline; PHYS 305; Drexel University

PHYS 305: Computational Physics II

Winter 2016



ODEs with CLASS

The concept of class can certainly help in solving sets of ODEs . At the very least, it allows to organize the code that performs the ODE solution, and it allows to systematically incorporate options in the code.

One option is to use classes that divide the solution of the ODE in its logical parts. For instance, one could argue that a setup part, followed by a time stepper, and finalized with some post checks sould work well. Another option would be to use a class that would calculate the complete solution of the ODEs over a given time interval.

The classes and objects are defined via the c++ syntax.

The Harmonic Oscillator (HO) is used as the basic skeleton code from which the solution of other set of ODEs can be derived.

The classes are:

The properties of the Step and PostCheck classes are received from the Setup class via inheritance. Look at the C++ syntax to do this in the codes.

In addition, the main program, HO.cpp , organizes the flow of operations in the time dependent solution. In particular the loop over the time intervals is done in the main program.

The HO codes can be foundin: Standard codes in tar format