  Starting with the relativistic Boltzmann equation where the collision term is
generalized to include nonlocal effects via gradients of the phase-space
distribution function, and using Grad's 14-moment approximation for the
distribution function, we derive equations for the relativistic dissipative
fluid dynamics. We compare them with the corresponding equations obtained in
the standard Israel-Stewart and related approaches. Our method generates all
the second-order terms that are allowed by symmetry, some of which have been
missed by the traditional approaches based on the 14-moment approximation, and
the coefficients of other terms are altered. The first-order or Navier-Stokes
equations too get modified. Significance of these findings is demonstrated in
the framework of one-dimensional scaling expansion of the matter formed in
relativistic heavy-ion collisions.
