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Multi-point algorithms for second-order coupled equations

โœ Scribed by N.M. Clarke

Publisher
Elsevier Science
Year
1982
Tongue
English
Weight
739 KB
Volume
27
Category
Article
ISSN
0010-4655

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โœฆ Synopsis

A general method has been derived to obtain all the possible algorithms for second-order equations involving the function at two points and the values of the second derivatives at one or more points. Both predictor and corrector algorithms may be obtained, together with their truncation errors, and some examples are given. These algorithms have been tested for sinusoidal and exponential solutions, and compared with the Baylis-Peel algorithm. A predictor-corrector algorithm of outstanding accuracy has been derived, and the source of its small errors for sinusoidal solutions is discussed. Some suggestions are made for the improvement of existing coupled channels codes, using these algorithms.

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