Résumé:
Líojective of this work presented in this memory is to apply the reproducing ker-
nel Hilbert space methode(RKHSM ) for solving third order di§erential equations with
multiple characteristics in a recangular domain. The analytical solution is represented in
the form of series using the present method. Thus, the approximate solution is obtained.
Finally the results obtained from the method are compared with the exact solutions.
Consequently the results of the numerical examples show that the RKHS is e§ective for
this kind of the problems. All the computations are performed using Mathematica 9.0.
