|
Fundamentalnaya i Prikladnaya Matematika, 2006, Volume 12, Issue 4, Pages 203–208
(Mi fpm968)
|
|
|
|
This article is cited in 4 scientific papers (total in 4 papers)
Rational-fractional methods for solving stiff systems of differential equations
R. V. Slonevskiiab, R. R. Stolyarchukba a Institute of Applied Mathematics and Fundamental Sciences, Lviv Polytechnic National University
b Lviv Polytechnic National University
Abstract:
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.
Citation:
R. V. Slonevskii, R. R. Stolyarchuk, “Rational-fractional methods for solving stiff systems of differential equations”, Fundam. Prikl. Mat., 12:4 (2006), 203–208; J. Math. Sci., 150:5 (2008), 2434–2438
Linking options:
https://www.mathnet.ru/eng/fpm968 https://www.mathnet.ru/eng/fpm/v12/i4/p203
|
Statistics & downloads: |
Abstract page: | 736 | Full-text PDF : | 244 | First page: | 1 |
|