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Variable step‐size implementation of sixth‐order Numerov‐type methods
Author(s) -
Medvedeva Marina A.,
Simos Theodore E.,
Tsitouras Charalampos
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5929
Subject(s) - mathematics , type (biology) , order (exchange) , variable (mathematics) , mathematical optimization , mathematical analysis , ecology , finance , economics , biology
The explicit sixth‐order Numerov‐type family of methods is considered. A new representative from this family is produced and equipped with a cheap step‐size changing algorithm. Actually, after the completion of a step, this remains the same, halved, or doubled. The off‐step points required for such technique are evaluated through local interpolant. Numerical tests over various problems illustrate the efficiency gained by this approach.