New Runge-Kutta methods for initial value problems
نویسندگان
چکیده
منابع مشابه
Runge-Kutta Pairs for Scalar Autonomous Initial Value Problems
We present the equations of condition up to sixth order for Runge-Kutta (RK) methods, when integrating scalar autonomous problems. Two RK pairs of orders 5(4) are derived. The first at a cost of only five stages per step, while the other having an extremely small principal truncation error. Numerical tests show the superiority of the new pairs over traditional ones.
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ژورنال
عنوان ژورنال: Applied Mathematics Letters
سال: 1989
ISSN: 0893-9659
DOI: 10.1016/0893-9659(89)90109-2