Solving Oscillatory Delay Differential Equations Using Block Hybrid Methods Article Swipe

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Sufia Zulfa Ahmad , Fudziah Ismail , Norazak Senu ·

YOU? · · 2018 · Open Access · · DOI: https://doi.org/10.1155/2018/2960237

A set of order condition for block explicit hybrid method up to order five is presented and, based on the order conditions, two-point block explicit hybrid method of order five for the approximation of special second order delay differential equations is derived. The method is then trigonometrically fitted and used to integrate second-order delay differential equations with oscillatory solutions. The efficiency curves based on the log of maximum errors versus the CPU time taken to do the integration are plotted, which clearly demonstrated the superiority of the trigonometrically fitted block hybrid method.

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Mathematics

Differential Equation

Differential (Mechanical Device)

Mathematical Analysis

Aerospace Engineering

Engineering

Economics

Programming Language

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Mathematics Block (permutation group theory) Delay differential equation Differential equation Set (abstract data type) Order (exchange) Differential (mechanical device) Applied mathematics Point (geometry) Mathematical analysis Combinatorics Geometry Computer science Finance Aerospace engineering Engineering Economics Programming language

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Type: article
Language: en
Landing Page: http://doi.org/10.1155/2018/2960237
PDF: http://downloads.hindawi.com/journals/jmath/2018/2960237.pdf
OA Status: gold
Cited By: 8
References: 13
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DOI: https://doi.org/10.1155/2018/2960237

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Title: Solving Oscillatory Delay Differential Equations Using Block Hybrid Methods

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Language: en

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Publication year: 2018

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Publication date: 2018-10-01

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Authors: Sufia Zulfa Ahmad, Fudziah Ismail, Norazak Senu

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Landing page: https://doi.org/10.1155/2018/2960237

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Concepts: Mathematics, Block (permutation group theory), Delay differential equation, Differential equation, Set (abstract data type), Order (exchange), Differential (mechanical device), Applied mathematics, Point (geometry), Mathematical analysis, Combinatorics, Geometry, Computer science, Finance, Aerospace engineering, Engineering, Economics, Programming language

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Cited by: 8

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