Novel Exponentially Fitted Two-Derivative Runge-Kutta Methods with Equation-Dependent Coefficients for First-Order Differential Equations
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 interna...
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Hindawi Limited
2016-01-01
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Series: | Discrete Dynamics in Nature and Society |
Online Access: | http://dx.doi.org/10.1155/2016/9827952 |
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doaj-027f7b4e4be54944bc9b3e4e5928a2702020-11-24T23:20:35ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2016-01-01201610.1155/2016/98279529827952Novel Exponentially Fitted Two-Derivative Runge-Kutta Methods with Equation-Dependent Coefficients for First-Order Differential EquationsYanping Yang0Yonglei Fang1Xiong You2Bin Wang3School of Mathematics and Statistics, Zaozhuang University, Zaozhuang 277160, ChinaSchool of Mathematics and Statistics, Zaozhuang University, Zaozhuang 277160, ChinaDepartment of Applied Mathematics, Nanjing Agricultural University, Nanjing 210095, ChinaSchool of Mathematical Sciences, Qufu Normal University, Qufu 273165, ChinaThe 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.http://dx.doi.org/10.1155/2016/9827952 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Yanping Yang Yonglei Fang Xiong You Bin Wang |
spellingShingle |
Yanping Yang Yonglei Fang Xiong You Bin Wang Novel Exponentially Fitted Two-Derivative Runge-Kutta Methods with Equation-Dependent Coefficients for First-Order Differential Equations Discrete Dynamics in Nature and Society |
author_facet |
Yanping Yang Yonglei Fang Xiong You Bin Wang |
author_sort |
Yanping Yang |
title |
Novel Exponentially Fitted Two-Derivative Runge-Kutta Methods with Equation-Dependent Coefficients for First-Order Differential Equations |
title_short |
Novel Exponentially Fitted Two-Derivative Runge-Kutta Methods with Equation-Dependent Coefficients for First-Order Differential Equations |
title_full |
Novel Exponentially Fitted Two-Derivative Runge-Kutta Methods with Equation-Dependent Coefficients for First-Order Differential Equations |
title_fullStr |
Novel Exponentially Fitted Two-Derivative Runge-Kutta Methods with Equation-Dependent Coefficients for First-Order Differential Equations |
title_full_unstemmed |
Novel Exponentially Fitted Two-Derivative Runge-Kutta Methods with Equation-Dependent Coefficients for First-Order Differential Equations |
title_sort |
novel exponentially fitted two-derivative runge-kutta methods with equation-dependent coefficients for first-order differential equations |
publisher |
Hindawi Limited |
series |
Discrete Dynamics in Nature and Society |
issn |
1026-0226 1607-887X |
publishDate |
2016-01-01 |
description |
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. |
url |
http://dx.doi.org/10.1155/2016/9827952 |
work_keys_str_mv |
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1725574383456485376 |