Title of article
An efficient Runge-Kutta (4,5) pair
Author/Authors
P. Bogacki، نويسنده , , L. F. Shampine، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 1996
Pages
14
From page
15
To page
28
Abstract
A pair of explicit Runge-Kutta formulas of orders 4 and 5 is derived. It is significantly more efficient than the Fehlberg and Dormand-Prince pairs, and by standard measures it is of at least as high quality. There are two independent estimates of the local error. The local error of the interpolant is, to leading order, a problem-independent function of the local error at the end of the step.
Keywords
RKSUITE , Continuous extension , Local error , Ordinary differential equations , Runge-Kutta
Journal title
Computers and Mathematics with Applications
Serial Year
1996
Journal title
Computers and Mathematics with Applications
Record number
917900
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