Stagnation point flow—a free boundary value problem formulation

International Journal of Computer Mathematics

Volumn 49, Issue 1-2, 1993, Pages 123-131

  Ariel, P D ^a  

^a LEIBNIZ UNIVERSITY HANNOVER   (Germany)

Author keywords

Adam Moulton method; free boundary value problem; Runge Kutla method; shooting method; Stagnation point flow

Indexed keywords

DIFFERENTIAL EQUATIONS; ITERATIVE METHODS; LAMINAR FLOW; NUMERICAL METHODS; VISCOUS FLOW;

ADAM MOULTON METHOD; RUNGE KUTTA METHOD; SHOOTING METHOD; STAGNATION POINT FLOW;

BOUNDARY VALUE PROBLEMS;

EID: 0027810092     PISSN: 00207160     EISSN: 10290265     Source Type: Journal    
DOI: 10.1080/00207169308804222     Document Type: Article

References (12)

1. L.A. Rubel, An estimation of the error due to the truncated boundary in the numerical solution of the Blasius equation, Quart. Appl. Math., 13 (1955), 203–206.
2. R. Fazio, Metodi di transformazione per lintegrazione numerica de problemi al contorno libero o mobile, Ph.D. Thesis University of Messina, 1990.
3. R. Fazio and D.J. Evans, Similarity and numerical analysis for free boundary value problems, Int. Jour. Comput. Math., 31 (1990), 215–220 and 39 (1991), 249.
4. R. Fazio, Normal variables transformation method applied to free boundary value problems, Int. Jour. Comput. Math., 37 (1990), 189–199.
5. R. Fazio, The Iterative Transformation Method: Free or Moving Boundary Value Problems. In Proceedings of the 13th IMACS World Congress on Computation and Applied Mathematics, Dublin (Ireland) 22–26 July 1991 (R. Vichnevetsky and J.J.H. Miller, eds), pp 242–243, Vol. 1.
6. R. Fazio, The Blasius problem formulated as a free boundary value problem, Acta Mech., 95 (1992), 1–7.
7. T.Y. Na, Computational Methods in Engineering Boundary Value Problems, Academic Press, New York, 1979.
8. K. Hiemenz, Die Grenzschicht in einem in dem gleichformingen flüssigkeitsstrom eingetauchten gerad Kreiszylinder, Dingl. Polytech. Jour., 326 (1911), 321–410.
9. P.R. Nachtsheim and P. Swigert, Satisfaction of asympotic boundary conditions in numerical solution of systems of non-linear equations of the boundary layer Type, NASA TN D 3004, October 1965.
10. P.D. Ariel, Hiemenz flow in hydromagnetics, Acta Mech., (1993), in press.
11. S.M. Roberts and J.S. Shipman, Two Point Boundary Value Problems: Shooting Methods, Elsevier, New York, 1972.
12. E.E.L. Mitchell and J.S. Gauthier, ACSL Reference Manual, Fourth Edition, Mitchell and Gauthier Associates, Concord, Massachusettes, 1986.