Abstract
The IDO (Interpolated Differential Operator) is an Euler-type scheme using local interpolation function constructed by multi moments. A conservative form of the IDO scheme has been developed, in which the point values and the integrated values are employed as dependent variables. The formulation and computational procedure are described. According to the Fourier analysis, it is found that the accuracy and stability are exactly same as that of the conventional non-conservative IDO scheme for linear partial differential equations. The conservative IDO scheme is applied to compressible flow and incompressible flow and better results are obtained.
