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A class of multi‐step difference schemes by using Padé approximant

Jinming Wu, Xiaolei Zhang

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Source: Crossref

Published: Oct 9, 2013

DOI: 10.1002/mma.2996

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Source 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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