Novel exponentially fitted two-derivative Runge-Kutta methods with equation-dependent coefficients for first-order differential equations
type: Item
instance of: scholarly article
title: Novel exponentially fitted two-derivative Runge-Kutta methods with equation-dependent coefficients for first-order differential equations
zbMATH Open document ID: 1417.65138
DOI: 10.1155/2016/9827952
author: Yanping Yang
author: Xiong You
author: Bin Wang
author: Yonglei Fang
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-19T00:00:00Z
review text: Summary: The construction of exponentially fitted two-derivative Runge-Kutta (EFTDRK) methods for the numerical solution of first-order differential equations is investigated. The revised EFTDRK methods proposed, with equation-dependent coefficients, take into consideration the errors produced in the internal stages to the update. The local truncation errors and stability of the new methods are analyzed. The numerical results are reported to show the accuracy of the new methods.
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 65L70
zbMATH DE Number: 7025662
Wikidata QID: Q59123710
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/9827952
OpenAlex ID: W2342021465
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description: scientific article; zbMATH DE number 7025662