Generalized Rational Runge-Kutta Method for Integration of Stiff System of Ordinary Differential Equations

P.O. Babatola; R.A. Ademiluyi; E.A. Areo

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Generalized Rational Runge-Kutta Method for Integration of Stiff System of Ordinary Differential Equations

机译：常微分方程刚性系统积分的广义有理Runge-Kutta方法

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This study describes the development, analysis and implementation of generalized implicit rational runge-kutta schemes for integration of stiff system of ordinary differential equations. Its development adopted Taylor and binomial series expansion techniques to generate its parameters. The analysis of its basic properties adopted Dalhquist, A-stability model test equation and the results show that the scheme is, consistent, convergent and A-stable. Numerical results show that the method is accurate and effective.

机译：本研究描述了常微分方程刚性系统积分的广义隐式有理Runge-kutta方案的开发，分析和实现。其开发采用泰勒和二项式级数展开技术来生成其参数。通过Dalhquist，A稳定性模型等式对方程的基本特性进行分析，结果表明该方案是一致的，收敛的和A稳定的。数值结果表明，该方法准确有效。

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《Journal of Modern Mathematics and Statistics》 |2008年第3期|共7页
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P.O. Babatola; R.A. Ademiluyi; E.A. Areo;
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中图分类数学;
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6. Operational method of solution of linear non-integer ordinary and partial differential equations [O] . K. V. Zhukovsky -1

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Generalized Rational Runge-Kutta Method for Integration of Stiff System of Ordinary Differential Equations

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