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A note on Blasius type boundary value problems

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The existence and uniqueness of a solution to a generalized Blasius equation with asymptotic boundary conditions is proved. A new numerical approximation method is proposed.
Słowa kluczowe
Rocznik
Strony
5--17
Opis fizyczny
Bibliogr. 15 poz., tab.
Twórcy
Bibliografia
  • [1] F.M. Allan, M.I. Syam, On the analytic solutions of the nonhomogneous Blasius problem. J. Comput. Appl. Math. 182 (2005), 362-371.
  • [2] H. Blasius, Grenzschichten in Flussigkeiten rait kleiner Reibung, Math. Phys. 56 (1908), 1-37.
  • [3] J.P. Boyd, The Blasius function in the complex plane, Exp. Math. 8 (1999), 381-394.
  • [4] J.P. Boyd, The Blasius function: computations before computers, the value of tricks, undergraduate projects and open research problems, SIAM Review 50 (2008), 791-804.
  • [5] B. Brighi, J.-D. Hoernel, On the concave and convex solutions of a mixed convection boundary layer approximation in a porous medium, Appl. Math. Lett. 19 (2006) 69-74.
  • [6] T. Fang, W. Liang, C.-F.F. Lee, A new solution branch for the Blasius equation -A shrinking sheet problem, Comput. Math. Appl. 56 (2008) 12, 3088-3095.
  • [7] J.H. Mathews, Numerical Methods for Computer Science, Engineering and Mathematics, Prentice Hall Inc., New Jersey, 1992.
  • [8] K. Parand, M. Dehghan, A. Pirkhedri, Sine-collocation method for solving the Blasius equation, Phys. Lett. 373 (2009), 4060-4065.
  • [9] K. Parand, A. Taghavi, Rational scaled generalized Laguerre function collocation method for solving the Blasius equation, J. Comp. and Appl. Math. 233 (2009), 980-989.
  • [10] L.C. Piccinini, G. Stampacchia, G. Vidossich, Ordinary Differential Equations in Rn. Applied Mathematical Sciences 39, Springer-Verlag, New York-Berlin-Heidelberg, 1984.
  • [11] A.I. Ranasinghe, Solution of Blasius equation by decomposition, Appl. Math. Sci. 3 (2009), 605-611.
  • [12] L. Wang, A new algorithm for solving classical Blasius equation, Appl. Math. Comput. 157 (2004) 1, 1-9.
  • [13] A.-M. Wazwaz, The variational iteration method for solving two forms of Blasius equation on a half-infinite domain, Appl. Math. Comput. 188 (2007) 1, 485-491.
  • [14] H. Weyl, On the differential equations of the simplest boundary-layer problems, Ann. Math. 43 (1942) 2, 381-407.
  • [15] L.-T. Yu, C.C. Kuang, The solution of the Blasius equation by the differential transformation method, Math. Comput. Modelling 28 (1998) 1, 101-111.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-AGHT-0009-0006
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