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Preprints of the Keldysh Institute of Applied Mathematics, 2020, 120, 28 pp.
DOI: https://doi.org/10.20948/prepr-2020-120 (Mi ipmp2911) 		 
Hydrocarbon fuels combustion simulation with EPIRK4(3) method

S. A. Konev
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DOI: https://doi.org/10.20948/prepr-2020-120
Abstract: The paper deals with exponential methods for solving stiff systems of ODEs. The experience of implementation EPIRK3 and EPIRK4 methods is described. It is shown, that EPIRK4 methods do not converge with order four. Refined EPIRK4 methods that converge with order four are constructed. The new methods are tested with the hydrocarbon fuel combustion problem.
Keywords: numerical methods, stiff systems, exponential integrators, soot formation.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00252_а
19-01-00602_а
Document Type: Preprint
Language: Russian
Citation: S. A. Konev, “Hydrocarbon fuels combustion simulation with EPIRK4(3) method”, Keldysh Institute preprints, 2020, 120, 28 pp.
Citation in format AMSBIB
\Bibitem{Kon20}
\by S.~A.~Konev
\paper Hydrocarbon fuels combustion simulation with EPIRK4(3) method
\jour Keldysh Institute preprints
\yr 2020
\papernumber 120
\totalpages 28
\mathnet{http://mi.mathnet.ru/ipmp2911}
\crossref{https://doi.org/10.20948/prepr-2020-120}
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