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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 6, Pages 1080–1084 (Mi zvmmf4707)  
This article is cited in 1 scientific paper (total in 1 paper)

Fourth-order diagonally implicit schemes for evolution equations

N. V. Shirobokov

Southern Ural State University, pr. Lenina 76, Chelyabinsk, 454080, Russia
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Abstract: New fourth-order methods are proposed for solving both ordinary and partial differential equations. The derivation of the methods is based on the form of diagonally implicit schemes applied to stiff ordinary differential equations. The methods are absolutely and unconditionally stable. Test computations are presented.
Key words: evolution equations, Runge–Kutta methods, diagonally implicit numerical methods, stiff systems of ordinary differential equations, Burgers' equation.
Received: 21.11.2007
Revised: 17.11.2008
English version:
Computational Mathematics and Mathematical Physics, 2009, Volume 49, Issue 6, Pages 1033–1036
DOI: https://doi.org/10.1134/S0965542509060116
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: N. V. Shirobokov, “Fourth-order diagonally implicit schemes for evolution equations”, Zh. Vychisl. Mat. Mat. Fiz., 49:6 (2009), 1080–1084; Comput. Math. Math. Phys., 49:6 (2009), 1033–1036
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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