RATIONAL-FRACTIONAL METHODS FOR SOLVING STIFF SYSTEMS OF DIFFERENTIAL EQUATIONS

摘要

This 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 order of accuracy. Analysis of the results of experimental studies of these methods by test examples of various types confirms their efficiency.