logistic

Location: http://people.sc.fsu.edu/~jburkardt/classes/math1902_2020/logistic/logistic.html

logistic describes a project involving a new problem, the logistic equation. We will approximate the solution to this problem several times, with differing stepsizes, to see how we can estimate and improve our accuracy.

The notes:

• logistic.pdf
• logistic.tex

Matlab:

• dfield9.m, a program which allows a user to interactively specify the right hand side of an ordinary differential equation (ODE). The program then displays the corresponding direction field. If the user clicks on any point in the image as an initial condition, the program displays the corresponding solution curve. The original version of this code was by John Polking.
• pplane9.m, a program which allows a user to interactively specify the right hand sides of two differential equations. The program then displays the corresponding phase field. If the user clicks on any point in the image as an initial condition, the program displays the corresponding phase curve. The original version of this code was by John Polking.

Images:

• logistic_field.png