A three-point sixth-order staggered combined compact difference scheme
Chu, Peter C.
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A three-point, sixth-order, staggered, combined compact differences (SCCD) scheme is proposed for numerical models. The SCCD scheme is a generalization of the previously proposed combined compact difference (CCD) scheme, and has a 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 SCCD scheme is studied using the eigenvalue analysis.
Mathematical and Computer Modeling, 32, 323-340.
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