Implicit Two-point Block Method with Third and Fourth Derivatives for Solving General Second Order ODEs Article Swipe

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Reem Allogmany , Fudziah Ismail , Zarina Bibi İbrahim ·

YOU? · · 2019 · Open Access · · DOI: https://doi.org/10.13189/ms.2019.070404

In this paper we present an implicit two-point block method for solving directly the general second order ordinary differential equations (ODEs).The method incorporates the first and second derivatives of f(x, y, y ), which are the third and fourth derivatives of the solution.The method is derived using Hermite Interpolating Polynomial as the basic function.A performance comparison of the two-point block method is compared in term of accuracy to several existing methods, which have order almost equal or higher than that of the new method.Numerical results interpret the accuracy and efficacy of the new m ethod.Application of the new method is discussed.

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Mathematics Ode Third order Order (exchange) Block (permutation group theory) Applied mathematics Point (geometry) Pure mathematics Calculus (dental) Algebra over a field Combinatorics Geometry Dentistry Economics Medicine Finance Theology Philosophy

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Type: article
Language: en
Landing Page: https://doi.org/10.13189/ms.2019.070404
PDF: http://www.hrpub.org/download/20190830/MS4-13490648.pdf
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DOI: https://doi.org/10.13189/ms.2019.070404

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Title: Implicit Two-point Block Method with Third and Fourth Derivatives for Solving General Second Order ODEs

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Language: en

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Publication year: 2019

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Publication date: 2019-09-01

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Authors: Reem Allogmany, Fudziah Ismail, Zarina Bibi İbrahim

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Landing page: https://doi.org/10.13189/ms.2019.070404

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Concepts: Mathematics, Ode, Third order, Order (exchange), Block (permutation group theory), Applied mathematics, Point (geometry), Pure mathematics, Calculus (dental), Algebra over a field, Combinatorics, Geometry, Dentistry, Economics, Medicine, Finance, Theology, Philosophy

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Cited by: 9

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abstract_inverted_index.performance	54
abstract_inverted_index.differential	18
abstract_inverted_index.incorporates	22
abstract_inverted_index.solution.The	42
abstract_inverted_index.Interpolating	48
abstract_inverted_index.method.Numerical	83
abstract_inverted_index.ethod.Application	94
cited_by_percentile_year.max	97
cited_by_percentile_year.min	89
countries_distinct_count	2
institutions_distinct_count	3
citation_normalized_percentile.value	0.85882614
citation_normalized_percentile.is_in_top_1_percent	False
citation_normalized_percentile.is_in_top_10_percent	False