How to use multi-scale wavlet solve nonlinear ODEs

I want to use multi-scale wavelet to solve nonlinear ODEs,such as dx/dt=f(x),here,f is nonlinear I have no any ideas,who can give me some suggestions?Thanks a lot!

Answer 1

[Wayne King]

While wavelet methods are used more frequently in the solution of PDEs, there are number of sources you can find that show you how to use wavelets to solve ODEs.

Here is one such paper:

http://www.iaeng.org/IJAM/issues_v38/issue_3/IJAM_38_3_11.pdf

Here is another:

http://www.m-hikari.com/ijma/ijma-2011/ijma-9-12-2011/mishraIJMA9-12-2011.pdf