Received 01.08.2012, Revised 11.10.2012, Accepted 30.11.2012

Formation of order conditions for Runge-Kutta methods using the labeled tree method

Olha Dmytriieva, Yana Kuprii

The theory of differential equation plays essential role in study of many processes and effects. Creation of effective algorithms of differential equations solving is important problem in theory of dynamic modeling and application programming. Using methods of high order for differential equation solving is a one way to increase precision and stability of solution. 
At this article a method of ‘rooted trees’ for creating differential equation solvers of high order is considered as a way aiming at rising computational precision of differential equations

 

ordinary differential equations, Runge-Kutta method, method designing, rooted trees, methods of high order
86-90
Dmytriieva, O., & Kuprii, Ya. (2012). Formation of order conditions for Runge-Kutta methods using the labeled tree method. Information Technologies and Computer Engineering, 9(3), 86-90.

References

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