Analytical and numerical study of the combustion process in a nonlinear medium

 
PIIS004446690002533-7-1
DOI10.31857/S004446690002533-7
Publication type Article
Status Published
Authors
Affiliation: Moscow State University, physical faculty
Address: Russian Federation, 119991 Moscow, Lenin Hills
Affiliation: Moscow State University, physical faculty
Address: Russian Federation, 119991 Moscow, Lenin Hills
Affiliation: Moscow State University, physical faculty
Address: Russian Federation, 119991 Moscow, Lenin Hills
Journal nameZhurnal vychislitelnoi matematiki i matematicheskoi fiziki
Edition
Pages1553-1563
Abstract

  

Keywords
AcknowledgmentThe work was supported by RFBR (project code 18-01-00186).
Publication date18.02.2019
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1. Sveshnikov A.G., Bogolyubov A.N., Kravtsov V.V. Lektsii po matematicheskoj fizike. M: Nauka, 2004.

2. Samarskij A.A., Galaktionov V.A., Kurdyumov S.P., Mikhajlov A.P. Rezhimy s obostreniem v zadachakh dlya kvazilinejnykh parabolicheskikh uravnenij. M.: Nauka, 1987.

3. Laptev G.I. Slabye resheniya kvazilinejnykh parabolicheskikh uravnenij vtorogo poryadka s dvojnoj nelinejnost'yu // Matem. sb. 1997. T. 188. № 9. S.

4. Ivanov A.V. Gel'derovskie otsenki dlya uravnenij tipa bystroj diffuzii // Algebra i analiz. 1994. T. 6. № 4.

5. Surnachev M.D. O regulyarnosti reshenij parabolicheskikh uravnenij s dvojnoj nelinejnost'yu i vesom // Tr. MMO. 2014. 75. № 2. S.

6. Korpusov M.O. O razrushenii reshenij klassa parabolicheskikh uravnenij s dvojnoj nelinejnost'yu // Matem. sb. 2013. 204. № 3. S.

7. Al’shinn A.B., Al’shina E.A., Kalitkin N.N., Koryagina A.B. Rosenbrock schemes with complex coefficients for stiff and differential algebraic systems // Computational Mathematics and Mathematical Physics. 2006. 46. № 8. P. 1320–1340.

8. Al’shin A.B., Kalitkin N.N., Koryakin P.V. Diagnostics of singularities of exact solutions in computations with error control // Comput. Math. and Math. Phys. 2005. V. 45. № 19. P. 1769–1779.

9. Kalitkin N.N., Al’shin A.B., Al’shina E.A., Rogov B.V. Computations on Quasi-Uniform Grids [in Russian]. Fizmatlit, M. 2005.

10. Al’shin A.B., Al’shina E.A. Numerical diagnosis of blow-up of solutions of pseudoparabolic equations // J. Math. Sci. 2008. V. 148. № 1. P. 143–162.

11. Kalitkin N.N. Numerical methods for solving stiff systems [in Russian] // Matematicheskoye modelirovanie. 1995. V. 7. № 5. P. 8–11.

12. Rosenbrock H.H. Some general implicit processes for the numerical solution of differential equations // Comput. Journal. 1963. V. 5. № 4. P. 329–330.

13. Hairer E., Wanner G. Solving of ordinary differential equations. stiff and differential-algebraic problems. London: Springer, 2002.

14. Korpusov M.O., Lukyanenko D.V., Panin A.A., Yushkov E.V. Blow-up for one sobolev problem: theoretical approach and numerical analysis // J. Math. Analysis and Applicat. 2016. V. 442. № 52. P. 451–468.

15. Korpusov M.O., Lukyanenko D.V., Panin A.A., Yushkov E.V. Blow-up phenomena in the model of a space charge stratification in semiconductors: analytical and numerical analysis // Math. Methods in the Applied Sci. 2017. V. 40. № 7. P. 2336–2346.

16. Luk'yanenko D.V., Panin A.A. Razrushenie resheniya uravneniya stratifikatsii ob'emnogo zaryada v poluprovodnikakh: chislennyj analiz pri svedenii iskhodnogo uravneniya k differentsial'no-algebraicheskoj sisteme // Vychisl. metody i programmirovanie: Novye vychisl. tekhnologii (Ehlektronnyj nauchnyj zhurnal). 2016. T. 17. № 1. P. 437–446.

17. Korpusov M.O., Luk'yanenko D.V., Ovsyannikov E.A., Panin A.A. Lokal'naya razreshimost' i razrushenie resheniya odnogo uravneniya s kvadratichnoj nekoehrtsitivnoj nelinejnost'yu // Vestn. Yuzhno-Ural'skogo gos. un-ta. Ser. Matem. modelirovanie i programmirovanie. 2017. T. 10. № 2. S. 107–123.

18. Kolotov I.I., Panin A.A. O neprodolzhaemykh resheniyakh i razrushenii reshenij psevdoparabolicheskikh uravnenij s koehrtsitivnoj i znakopostoyannoj nelinejnostyami // Zh. vychisl. matem. i matem. fiz.

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