Generalized Cole–Hopf Transformation Full article
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Journal of Applied and Industrial Mathematics
ISSN: 1990-4789 , E-ISSN: 1990-4797 |
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| Output data | Year: 2018, Volume: 12, Number: 3, Pages: 409-416 Pages count : 8 DOI: 10.1134/S199047891803002X | ||||
| Tags | Cole–Hopf transformation; nonlinear parabolic equation | ||||
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Abstract:
On the basis of generalization of the Cole–Hopf transformation for parabolic equations with a source, we obtain some new representations of solutions and coefficients of nonlinear parabolic equations of mathematical physics which in fact are differential-algebraic identities. These representations can be used in studying the multidimensional direct and inverse problems. © 2018, Pleiades Publishing, Ltd.
Cite:
Anikonov Y.E.
, Neshchadim M.V.
Generalized Cole–Hopf Transformation
Journal of Applied and Industrial Mathematics. 2018. V.12. N3. P.409-416. DOI: 10.1134/S199047891803002X Scopus OpenAlex
Generalized Cole–Hopf Transformation
Journal of Applied and Industrial Mathematics. 2018. V.12. N3. P.409-416. DOI: 10.1134/S199047891803002X Scopus OpenAlex
Original:
Аниконов Ю.Е.
, Нещадим М.В.
Обобщенное преобразование Коула-Хопфа
Сибирский журнал индустриальной математики. 2018. Т.21. №3. С.18-25. DOI: 10.17377/sibjim.2018.21.302
Обобщенное преобразование Коула-Хопфа
Сибирский журнал индустриальной математики. 2018. Т.21. №3. С.18-25. DOI: 10.17377/sibjim.2018.21.302
Identifiers:
| Scopus: | 2-s2.0-85052055424 |
| OpenAlex: | W2888504310 |