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

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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.

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Last modified: February 17, 2007