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   Articles with "numerov type" as a keyword



On Tenth‐Order Hybrid Numerov‐Type Methods

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recommendations! Published in 2025 at "Mathematical Methods in the Applied Sciences"

DOI: 10.1002/mma.10835

Abstract: In this paper, we introduce a new family of tenth‐order hybrid Numerov‐type methods designed for solving second‐order initial value problems (IVPs) with enhanced accuracy and efficiency. Our proposed methods build on the foundation of existing… read more here.

Keywords: order hybrid; hybrid numerov; tenth order; numerov type ... See more keywords

Local interpolants for Numerov‐type methods and their implementation in variable step schemes

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recommendations! Published in 2019 at "Mathematical Methods in the Applied Sciences"

DOI: 10.1002/mma.5808

Abstract: The classical explicit fourth‐order Numerov‐type method is considered. The equations of condition for deriving the corresponding interpolants are given. Then using a local error estimation, we may construct a stable variable step scheme. Applying this… read more here.

Keywords: numerov type; interpolants numerov; local interpolants; implementation ... See more keywords

Variable step‐size implementation of sixth‐order Numerov‐type methods

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recommendations! Published in 2019 at "Mathematical Methods in the Applied Sciences"

DOI: 10.1002/mma.5929

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 step‐size changing algorithm. Actually, after the completion of a step, this remains the… read more here.

Keywords: step size; numerov type; step; sixth order ... See more keywords

Hybrid Numerov-Type Methods with Coefficients Trained to Perform Better on Classical Orbits

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recommendations! Published in 2019 at "Bulletin of the Malaysian Mathematical Sciences Society"

DOI: 10.1007/s40840-019-00775-z

Abstract: AbstractThis manuscript constructed a class of explicit hybrid Numerov methods of sixth order for second-order ordinary differential equations. The methods have four stages at each step with coefficients expressed explicitly with respect to a couple… read more here.

Keywords: coefficients trained; trained perform; methods coefficients; numerov type ... See more keywords