A suggestion regarding Initial Conditions in ODEs.

*To*: mathgroup at smc.vnet.net*Subject*: [mg57411] A suggestion regarding Initial Conditions in ODEs.*From*: "Narasimham" <mathma18 at hotmail.com>*Date*: Fri, 27 May 2005 04:56:48 -0400 (EDT)*Sender*: owner-wri-mathgroup at wolfram.com

Initial conditions could be directly appended to the variable itself being integrated when encountered for the first time. This could shorten code by avoiding repetition of lower order derivative names. A left directed arrow may indicate input initial values. As an advantage,it could directly avoid errors due to mismatch between number of constraints and number of total differential orders,as the number of primes and number of initial arguments are placed/written almost side by side for a quicker visual tally. E.g., a cosine curve could be coded as : NDSolve[y''[t]<-[0, 1] == -y[t], y, {t, 0, 2 Pi}] instead of NDSolve[{y''[t] == -y[t], y'[0] == 0, y[0] == 1}, y, {t, 0, 2 Pi}]; The notation can be generalized to PDE. But, am not aware of other connected systemic implications. Regards, Narasimham