Dear all,
Find attached a simple file with a function that generates the Adomian
polynomials of a given nonlinear function around a given argument
function.
These polynomials are used in the Adomian decomposition method for the
solution of nonlinear differential equations, which provides an
analytical solution of the equations as a series of the Adomian
polynomials.
The file AdomianTest.wxm is meant as a test and example. You should
change the path to the mac file in your system.
I guess the polynomials could be implemented using the built-in taylor
function, but I applied directly the recipe from Adomian's book and
article.
The current implementation is not fast, comments and suggestions are welcome.
--
M. Sc. Juan Pablo Carbajal
-----
PhD Student
University of Z?rich
www.ailab.ch/carbajal
-------------- next part --------------
A non-text attachment was scrubbed...
Name: Adomian.mac
Type: application/octet-stream
Size: 2686 bytes
Desc: not available
URL: <http://www.math.utexas.edu/pipermail/maxima/attachments/20110427/851f98cc/attachment-0002.obj>;
-------------- next part --------------
A non-text attachment was scrubbed...
Name: AdomianTest.wxm
Type: application/octet-stream
Size: 915 bytes
Desc: not available
URL: <http://www.math.utexas.edu/pipermail/maxima/attachments/20110427/851f98cc/attachment-0003.obj>;