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

Joint Authors

Yang, Yanping
Fang, Yonglei
Wang, Bin
You, Xiong

Source

Discrete Dynamics in Nature and Society

Issue

Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-6, 6 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2016-04-20

Country of Publication

Egypt

No. of Pages

6

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Yang, Yanping& Fang, Yonglei& You, Xiong& Wang, Bin. 2016. Novel Exponentially Fitted Two-Derivative Runge-Kutta Methods with Equation-Dependent Coefficients for First-Order Differential Equations. Discrete Dynamics in Nature and Society،Vol. 2016, no. 2016, pp.1-6.
https://search.emarefa.net/detail/BIM-1103646

Modern Language Association (MLA)

Yang, Yanping…[et al.]. Novel Exponentially Fitted Two-Derivative Runge-Kutta Methods with Equation-Dependent Coefficients for First-Order Differential Equations. Discrete Dynamics in Nature and Society No. 2016 (2016), pp.1-6.
https://search.emarefa.net/detail/BIM-1103646

American Medical Association (AMA)

Yang, Yanping& Fang, Yonglei& You, Xiong& Wang, Bin. Novel Exponentially Fitted Two-Derivative Runge-Kutta Methods with Equation-Dependent Coefficients for First-Order Differential Equations. Discrete Dynamics in Nature and Society. 2016. Vol. 2016, no. 2016, pp.1-6.
https://search.emarefa.net/detail/BIM-1103646

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1103646