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KIAM Preprint  84, Moscow, 2008
Authors: Dovgilovich L.E., Sofronov I. L.
On application of compact schemes for solving the wave equation
A detailed comparison of one-dimensional compact schemes versus central-difference ones approximating the second derivative is done. The comparison criterion is based on computational costs required achieving a given accuracy. Low-cost algorithms for solving the wave equation with use of the highly-accurate compact schemes are proposed. The issues of accurate calculation by compact schemes of the second derivative near to boundaries, including a case of characteristic boundary conditions are considered. One of conclusions is that beginning from the 6th order of accuracy the compact schemes with the three-point left-hand-side operators are more effective than their central-difference counterparts.
Publication language: russian,  pages: 27
Research direction:
Mathematical modelling in actual problems of science and technics
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About authors:
  • Dovgilovich L.E.
  • Sofronov I. L.,  KIAM RAS