Adaptive residual subsampling for Radial Basis Functions

This simple codes solve initial-boundary value problems particularly Burgers' equation adaptively

adaptburgers_mol.zip contains simple matlab codes that solve 1-D time-dependent Burgers' equation using method of lines with ode15s as time-stepping method and 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 adaptburgers_mol.m

The codes can be modified to solve other 1-D nonlinear pdes such as Allen-Cahn, etc.

More codes can be downloaded from

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