A class of multi‐step difference schemes by using Padé approximant |
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| Authors: | Jinming Wu Xiaolei Zhang |
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| Affiliation: | Department of Mathematics, Zhejiang Gongshang University, , Hangzhou, 310018, China |
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| Abstract: | In this paper, we present a method for the construction of a class of multi‐step finite differences schemes for solving arbitrary order linear two‐point boundary value problems. The construction technique is based on Padé approximant. It is easy to derive multi‐step difference schemes, and it includes many existing schemes as its special cases. Numerical experiments show that the proposed schemes are flexible and convergent. Copyright © 2013 John Wiley & Sons, Ltd. |
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| Keywords: | finite difference schemes Padé approximant multi‐step linear boundary value problems |
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