Development of highly-accurate and explicit interpolation polynomial

Abstract

A new interpolative cubic polynomial (INDUS) has been developed by using the Six-point scheme, which was originally developed for calculation of pure advection. INDUS has almost the same accuracy as spline function and is much more accurate than Newton's forward interpolation. Since INDUS can be treated very easily because of its explicitness, it is expected that this will be used so often in science and engineering fields.