Exponentially-fitted Fourth-Order Taylor's Algorithm for Solving First-Order ODEs

In this paper, exponentially-fitted variants of the classical fourth-order Taylor's algorithm suitable for solving first-order ordinary differential equations are constructed. The methodology is based on the six-step flow chart proposed in [9]. The absolute stability properties of the new varia...

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Bibliographic Details
Published inJournal of physics. Conference series Vol. 1132; no. 1; pp. 12018 - 12024
Main Authors Akanbi, M A, Wusu, A S
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.11.2018
Subjects
Algorithms
Differential equations
Flow charts
Flow stability
Ordinary differential equations
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ISSN1742-6588
1742-6596
1742-6596
DOI10.1088/1742-6596/1132/1/012018

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Summary:In this paper, exponentially-fitted variants of the classical fourth-order Taylor's algorithm suitable for solving first-order ordinary differential equations are constructed. The methodology is based on the six-step flow chart proposed in [9]. The absolute stability properties of the new variants are presented. Implementation of the new schemes on some test problems showed that the new methods compared favourably with other well-known fourth-order methods.
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ISSN:1742-6588
1742-6596
1742-6596
DOI:10.1088/1742-6596/1132/1/012018