This Demonstration shows the phenomenon of filamentation (i.e. the appearance of smaller and smaller structures in the phase space direction associated with velocity) for a simple advection equation that can be solved analytically.
THINGS TO TRY
Wolfram Demonstrations Project
Published: January 19, 2012
Embed Interactive Demonstration
More details »
Download Demonstration as CDF »
Download Author Code »
More by Author
Solving the Diffusion-Advection-Reaction Equation in 1D Using Finite Differences
Nasser M. Abbasi
Numerical Solution of the Advection Partial Differential Equation: Finite Differences, Fixed Step Methods
Alejandro Luque Estepa
Difference Equation versus Differential Equation
Luis R. Izquierdo and Segismundo S. Izquierdo
Delay Logistic Equation
Picard's Method for Ordinary Differential Equations
Oliver K. Ernst
Some Time-Delay Differential Equations
Browse all topics
The #1 tool for creating Demonstrations
and anything technical.
Explore anything with the first
computational knowledge engine.
The web's most extensive
Course Assistant Apps »
An app for every course—
right in the palm of your hand.
Wolfram Blog »
Read our views on math,
science, and technology.
Computable Document Format »
The format that makes Demonstrations
(and any information) easy to share and
STEM Initiative »
Programs & resources for
educators, schools & students.
Join the initiative for modernizing
Step-by-Step Solutions »
Walk through homework problems one step at a time, with hints to help along the way.
Wolfram Problem Generator »
Unlimited random practice problems and answers with built-in step-by-step solutions. Practice online or make a printable study sheet.
Wolfram Language »
Knowledge-based programming for everyone.
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
© 2016 Wolfram Demonstrations Project & Contributors |
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have