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Journal of Online Mathematics and its Applications
The Transport Equation and Directional Derivatives
The transport equation is a partial differential equation of the form
Here, u is a function of two variables x and t, and the subscripts denote partial derivatives. We will assume that c is a fixed constant. Given an initial condition
we would like to find a function of two variables that satisfies both the transport equation (1) and the initial condition (2).
Components for the applet are based on David Eck's Java Components for Mathematics at Hobart and William Smith Colleges.
About the author
Joan Remski is an Assistant Professor of Mathematics