A three-point sixth-order staggered combined compact difference scheme

A three-point, sixth-order, staggered, combined compact difference (SCCD) scheme is proposed for numerical models. The SCCD scheme is a generalization of the previously proposed combined compact difference (CCD) scheme, and has major improved features such as error and computational (CPU) time reduction especially for odd-order difference equations with odd-number boundary conditions. For nonperiodic boundaries, an additional sixth-or fifth-order boundary condition is proposed. The stability of the SCCD scheme is studied using the eigenvalue analysis.