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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2007, Volume 47, Number 7, Pages 1187–1191
(Mi zvmmf278)
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This article is cited in 1 scientific paper (total in 1 paper)
New splitting methods for two-dimensional evolutionary equations
N. V. Shirobokov Southern Ural State University, pr. Lenina 76, Chelyabinsk, 454080, Russia
Abstract:
New second- and third-order splitting methods are proposed for evolutionary-type partial differential equations in a two-dimensional space. These methods are derived on the basis of diagonally implicit methods applied to the numerical analysis of stiff ordinary differential equations. The splitting methods are found to be absolutely unconditionally stable. Test calculations are presented.
Key words:
two-dimensional evolutionary equations, Runge–Kutta methods, diagonally implicit methods, stiff problems,
second- and third-order splitting methods.
Received: 15.12.2006
Citation:
N. V. Shirobokov, “New splitting methods for two-dimensional evolutionary equations”, Zh. Vychisl. Mat. Mat. Fiz., 47:7 (2007), 1187–1191; Comput. Math. Math. Phys., 47:7 (2007), 1137–1141
Linking options:
https://www.mathnet.ru/eng/zvmmf278 https://www.mathnet.ru/eng/zvmmf/v47/i7/p1187
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Abstract page: | 252 | Full-text PDF : | 126 | References: | 43 | First page: | 1 |
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