2019
DOI: 10.1002/mma.5929
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Variable step‐size implementation of sixth‐order Numerov‐type methods

Abstract: The explicit sixth-order Numerov-type family of methods is considered. A new representative from this family is produced and equipped with a cheap stepsize 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. KEYWORDS explicit hybrid Numerov, variable step, y″ = f (x, y) MSC CLASSIFIC… Show more

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Cited by 21 publications
(4 citation statements)
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“…Secondly, the learning relationship is not mutually exclusive because it allows multiple channel features instead of one hot form. Based on the criteria, there is the equation [25,26].…”
Section: Feature Mapmentioning
confidence: 99%
“…Secondly, the learning relationship is not mutually exclusive because it allows multiple channel features instead of one hot form. Based on the criteria, there is the equation [25,26].…”
Section: Feature Mapmentioning
confidence: 99%
“…Among them, L b represents the test length of the waterproof material when it breaks, and L 0 represents the length of the initial waterproof material. The components of the foundation pit of the railway logistics center are combined with each other, the waterproof material produces a certain amount of extrusion [27,28], the waterproof material is uniformly loaded with a force of 2400 N, and the compressive…”
Section: Reinforcement Mechanism Of Pile Yard Foundation Of Railway L...mentioning
confidence: 99%
“…Many of the simplifications of the past-for example, that in a given decision only the minimum or maximum cost or benefit is essential-are not acceptable today, and it is necessary to confront the actual situation as much as possible with the methods and utilize more progressive approaches [98,99]. ese methods take a more comprehensive look at issues such as the multiplicity of futures, the multiplicity of goals, the changing attitudes towards risk, and, most importantly, the inevitable balances [100,101]. Fuzzy sets (FS) were developed by the mathematician Lotfi Zadeh [95] to deal with real-life decisions that are complicated due to the inherent uncertainty.…”
Section: Hesitant Fuzzy Setmentioning
confidence: 99%