Cite this article as:
Novikov E. A. Algorithm Variable Order, Step and the Configuration Variables for Solving Stiff Problems. Izv. Saratov Univ. (N. S.), Ser. Math. Mech. Inform., 2013, vol. 13, iss. 3, pp. 35-43. DOI: https://doi.org/10.18500/1816-9791-2013-13-3-35-43
Algorithm Variable Order, Step and the Configuration Variables for Solving Stiff Problems
An inequality for stability control of a Ceschino’s scheme of second order of accuracy is constructed. A numerical formula of order
one is developed that is based on the stages of the this method and its stability interval is extended to 32. On a base of L-stable
(2,1)-scheme and a numerical Ceschino’s formula, an algorithm of alternating structure, in which an efficient numerical formula is
chosen on an every step by a stability criterion, is constructed. The algorithm is intended for solving stiff and non-stiff problems.
There are shown results of calculations, confirming efficiency of this algorithm.
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