Novel Exponentially Fitted Two-Derivative Runge-Kutta Methods with Equation-Dependent Coefficients for First-Order Differential Equations

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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Main Authors: Yanping Yang, Yonglei Fang, Xiong You, Bin Wang
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2016/9827952
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spelling 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 AT yanpingyang novelexponentiallyfittedtwoderivativerungekuttamethodswithequationdependentcoefficientsforfirstorderdifferentialequations
AT yongleifang novelexponentiallyfittedtwoderivativerungekuttamethodswithequationdependentcoefficientsforfirstorderdifferentialequations
AT xiongyou novelexponentiallyfittedtwoderivativerungekuttamethodswithequationdependentcoefficientsforfirstorderdifferentialequations
AT binwang novelexponentiallyfittedtwoderivativerungekuttamethodswithequationdependentcoefficientsforfirstorderdifferentialequations
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