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We find a numerical self-consistent stellar model by finding the distributionfunction of a thin disk that satisfies simultaneously the Fokker-Planck andPoisson equations. The solution of the Fokker-Planck equation is found by adirect numerical solver using finite differences and a variation of Stone'smethod. The collision term in the Fokker-Planck equation is found using thelocal approximation and the Rosenbluth potentials. The resulting diffusioncoefficients are explicitly evaluated using a Maxwellian distribution for thefield stars. As a paradigmatic example, we apply the numerical formalism tofind the distribution function of a Kuzmin-Toomre thin disk. This example isstudied in some detail showing that the method applies to a large family ofactual galaxies.Comment: 12 pages, 9 figures, version accepted in Astronomy & Astrophysic

Numerical self-consistent stellar models of thin disks