2D adaptive residual subsampling for Radial Basis Functions

This program solves initial-boundary value problems particularly 2D Burgers' equation adaptively

adaptburgers2d_mol.zip contains matlab codes that solve 2D time-dependent Burgers' equation using method of lines with adaptive residual subsampling for radial basis functions in space.

Reference:
T.A. Driscoll and A.R.H Heryudono
Adaptive Residual Subsampling Methods for Radial Basis Function Interpolation and Collocation Problems, Submitted to. Comput. Math. Appl.
The paper can be downloaded from :
http://www.math.udel.edu/php/deptapps/techrept.php?year=2006

Unzip the file, and run adaptburgers2d_mol.m

The program is rather slow due to readaptation process at every time step to capture the moving front and solving quite large system of linear equations. However the program itself is usable. It is tested using P4 2.4GHz with 1GB ram.

More codes can be downloaded from

http://www.math.udel.edu/~heryudon/research.html