FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2006, VOLUME 12, NUMBER 4, PAGES 203-208

**Rational-fractional methods for solving stiff systems of differential
equations**

R. V. Slonevskij

R. R. Stolyarchuk

Abstract

View as HTML
View as gif image

The paper proposes new numerical methods for solving stiff systems of
first-order differential equations not resolved with respect to the
derivative.
These methods are based on rational-fractional approximations of the
vector-valued function of solution of the system considered.
The authors study the stability of the constructed methods of
arbitrary finite accuracy order.
The analysis of the results of experimental studies of these methods
by test examples of various types confirms their efficiency.

Location: http://mech.math.msu.su/~fpm/eng/k06/k064/k06413h.htm

Last modified: February 17, 2007