Integrating oscillatory general second-order initial value problems using a block hybrid method of order 11
type: Item
instance of: scholarly article
title: Integrating oscillatory general second-order initial value problems using a block hybrid method of order 11
zbMATH Open document ID: 1427.65106
DOI: 10.1155/2018/3750274
author: Samuel N. Jator
author: Kindyl L. King
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: In some cases, high-order methods are known to provide greater accuracy with larger step-sizes than lower order methods. Hence, in this paper, we present a Block Hybrid Method (BHM) of order 11 for directly solving systems of general second-order initial value problems (IVPs), including Hamiltonian systems and partial differential equations (PDEs), which arise in multiple areas of science and engineering. The BHM is formulated from a continuous scheme based on a hybrid method of a linear multistep type with several off-grid points and then implemented in a block-by-block manner. The properties of the BHM are discussed and the performance of the method is demonstrated on some numerical examples. In particular, the superiority of the BHM over the Generalized Adams Method (GAM) of order 11 is established numerically.
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 34C10
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 7018862
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/3750274
OpenAlex ID: W2807911535
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description: scientific article; zbMATH DE number 7018862