| Title:
|
Some cases of numerical solution of differential equations describing the vortex-flow through three-dimensional axially symmetric channels (English) |
| Author:
|
Feistauer, Miloslav |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
16 |
| Issue:
|
4 |
| Year:
|
1971 |
| Pages:
|
265-288 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| Summary:
|
In the article one partial differential equation of the second order is derived from the system of Euler's equations and the equation of continuity and it is solved by the finite-difference method, which gives good results. () |
| MSC:
|
65Z05 |
| idZBL:
|
Zbl 0221.65184 |
| idMR:
|
MR0286370 |
| DOI:
|
10.21136/AM.1971.103357 |
| . |
| Date available:
|
2008-05-20T17:51:09Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103357 |
| . |
| Reference:
|
[1] Л. Г. Лопцянстт: Механика жидкости и газа.Физматгиз, Москва, 1959. Zbl 1047.90504 |
| Reference:
|
[2] H. Е. Кочин И. Л. Кибелъ H. В. Розе: Теоретическая гидромеханика.Ленинград-Москва, 1948. Zbl 1154.94303 |
| Reference:
|
[3] I. Černý: Fundaments of Analysis in Complex Region.(Czech), Academia, Prague, 1967. |
| Reference:
|
[4] V. Jarník: Differential Calculus I.(Czech), NČSAV, Prague, 1953. |
| Reference:
|
[5] V. Jarník: Differential Calculus II.(Czech), NČSAV, Prague, 1956. |
| Reference:
|
[6] Л. С. Понтрягин: Обыкновенные дифференциальные уравнения.ГИФМЛ, Москва, 1961. Zbl 1160.68305 |
| Reference:
|
[7] С. Г. Михлин X. Л. Смолицкий: Приближенные методы решения дифференциальных и интегральных уравнений.Наука, Москва, 1965. Zbl 1225.00032 |
| Reference:
|
[8] I. Babuška M. Práger E. Vitásek: Numerical Processes in Differential Equations.SNTL, Prague, 1968. MR 0258285 |
| Reference:
|
[9] L. Collatz: Numerische Behandlung von Differentialgleichungen.Springer Verlag, Berlin, 1955. Zbl 0064.12405, MR 0068908 |
| Reference:
|
[10] L. Bers: On Mildly Nonlinear Partial Difference Equations of Elliptic Type.Journ. Res. Nat. Bur. Stand., 51, 1953, No 5. Zbl 0053.40202, MR 0064291, 10.6028/jres.051.030 |
| Reference:
|
[11] G. E. Forsythe W. R. Wasow: Finite-Difference Methods for Partial Differential Equations.New York-London. |
| Reference:
|
[12] Д. К. Фадеев B. H. Фадеева: Вычислительные методы линейной алгебры.ГИФМЛ, Москва, 1963. Zbl 1214.14039 |
| Reference:
|
[13] О. Taussky: A Recurring Theorem on Determinants.Amer. Math. Monthly, 56, 1949, 672-676. Zbl 0036.01301, MR 0032557, 10.1080/00029890.1949.11990209 |
| Reference:
|
[14] Л. А. Люсперник В. И. Соболев: Элменты функционального анализа.Гостехиздат Москва-Ленинград, 1951. Zbl 1200.93002 |
| Reference:
|
[15] T. S. Motzkin W. R. Wasow: On the Approximation of Linear Differential Equations by Difference Equations with Positive Coefficients.Journ. Math. Phys. 31, 1953, No 4. |
| Reference:
|
[16] J. Kačur: On Existence of the Weak Solution fo Non-Linear Partial Differential Equations of Elliptic Type.Commentationes Mathematicae Universitatis Carolinae, 11, 1 (1970). MR 0301357 |
| . |
