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

作者：Yang, Yanping; Fang, Yonglei^*; You, Xiong; Wang, Bin

来源：Discrete Dynamics in Nature and Society, 2016, 2016: 9827952.

DOI：10.1155/2016/9827952

• INITIAL-VALUE PROBLEMS
• NUMERICAL-INTEGRATION
• CONSTRUCTION

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.

• 出版日期2016
• 单位曲阜师范大学; 枣庄学院; 南京农业大学