A NEW DIFFERENCE SCHEME WITH MULTI-TIME LEVELS |
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| Authors: | Feng Guo-lin Cao Hong-xing Dong Wen-jie and Chou Ji-fan |
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| Affiliation: | Mathematics and Physics College, Yangzhou University, Yangzhou 225009, China; Academy of Meteorological Sciences, Beijing 100081 China; Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China; Department of Meteorological Sciences, Lanzhou University, Lanzhou 730000 China |
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| Abstract: | In view of making the best use of information coming from past observational data, a new difference scheme with multi-time levels (p>3) is suggested. Some mathematical characteristics of the scheme, which is called the retrospective scheme, are discussed. The numerical results of some examples show that the calculation accuracy of linear and nonlinear advection equations computed with the retrospective scheme is higher than that obtained via the leapfrog scheme. The scheme can be applied to many fields, such as meteorology, engineering physics, astronautics, environment and economy etc, where systematic observations are made normally. |
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| Keywords: | numerical computing multi-initial values self-memorization the retrospective difference scheme |
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