Extension of eigenfunction-expansion solutions of a fokker-planck equation--I. First order system

The work is concerned with eigenfunction-expansion solutions to the forward Fokker-Planck equation associated with a specific, non-linear, first-order system subject to white noise excitation. Using a digital computer, a substantial number of new terms in the expansions have been generated. With this new information, inverted Domb-Sykes plots revealed a pattern in the coefficients for certain ranges of values of the parameters. Through this pattern, Dingle's theory of terminants was used to recast the series into a more favorable computational form.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/23712/1/0000684.pd