CONSERVATIVE FINITE DIFFERENCE SCHEMES FOR PARABOLIC AND ELLIPTIC EQUATIONS ON CURVILINEAR MESHES

V.T. Zhuкоv, O.B. Feоdоritоva
VANT. Ser.: Mat. Mod. Fiz. Proc 1993. Вып.1. С. 14-18.

      In this work the new discretization method of two-dimensional parabolic and elliptic differential equations is presented.
      This method is a special version of the well known balance method and can be applied for finite difference approximation equation in the region with curvilinear boundary and on the non uniform curvilinear meshes. For time-discretization of the parabolic equation we use the explicit-iteration scheme with Chebyshev parameters. This method may be generalized to the three-dimensional cane.