ALGORITHM OF ALTERNATING STRUCTURE WITH THE USE OF CESCHINO’S METHOD FOR STIFF PROBLEMS SOLVING
An inequation for stability control of Ceschino’s method of second order of accuracy is constructed. On the basis of L-stable (2,1)-scheme and a numerical Ceschino’s formula an algorithm of alternating structure - in which an effective numerical formula is chosen on every step by a stability criterion - is constructed. The algorithm is intended to solve stiff and nonstiff problems. There are results of calculations, confirming efficiency and effectiveness of this algorithm.
Keywords: stiff problem, Ceschino’s scheme, (2, 1)-method, accuracy control.