Finding initial solutions for a class of nonlinear BVP

Authors

  • Maria Gabriela TRÎMBIȚAȘ “Babes-Bolyai” University, Faculty of Mathematics and Computer Sciences 1, Kogalniceanu Street, 400084 Cluj-Napoca, Romania e-mail: gabitr@cs.ubbcluj.ro
  • Radu T. TRÎMBIȚAȘ “Babes-Bolyai” University, Faculty of Mathematics and Computer Sciences 1, Kogalniceanu Street, 400084 Cluj-Napoca, Romania e-mail: tradu@math.ubbcluj.ro

Keywords:

Fluid mechanics, boundary value problem, starting solution.

Abstract

The purpose of these paper is to solve a nonlinear boundary value problem having the origin in fluid mechanics. The equation has in general several solutions and the main difficulty is to find starting solutions. We follow a mixed symbolic-numeric approach.

Mathematics Subject Classification (2010): 65L10, 76R99.

References

Fang, T., Yao, S., Zhang, J., Aziz, A., Viscous flow over a shrinking sheet with a second order slip flow model, Commun. Nonlinear Sci. Numer. Simulat., 15(2010), 1831–1842.

Frank W.J. Olver (Editor in chief), NIST Handbook of Mathematical Functions, NIST and Cambridge University Press, 2010.

Ishak, A., Lok, Y.Y., Pop, I., Stagnation-point flow over a shrinking sheet in a micropolar fluid, Chem. Engng. Communicat., 197(2010), 1417-1427.

Wang, C.Y., Stagnation flow towards a shrinking sheet, Int. J. Non-Linear Mech., 43(2008), 377-382.

Wu, L., A slip model for rarefied gas flows at arbitrary Knudsen number, Appl. Phys. Lett., 93(2008).

Maple 18 User Manual, Maplesoft, 2014.

Maple 18 Programming Guide, Maplesoft, 2014.

Mathematics in MATLAB, Mathworks Inc., 2014.

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Published

2015-06-30

How to Cite

TRÎMBIȚAȘ, M. G., & TRÎMBIȚAȘ, R. T. (2015). Finding initial solutions for a class of nonlinear BVP. Studia Universitatis Babeș-Bolyai Mathematica, 60(2), 319–327. Retrieved from https://studia.reviste.ubbcluj.ro/index.php/subbmathematica/article/view/5745

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