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A hybrid boundary integral/Taylor series approach to some nonlinear equations from fluid mechanics

Published online by Cambridge University Press:  17 February 2009

C. J. Coleman
C. J. Coleman
Affiliation:
Department of Mathematics, University of Wollongong, P. O. Box 1144, Wollongong, New South Wales, Australia.
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Abstract

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We show that a combination of Taylor series and boundary integral methods can lead to an effective scheme for solving a class of nonlinear partial differential equations. The method is illustrated through its application to an equation from two dimensional fluid mechanics.

Type
Research Article
Information
The ANZIAM Journal , Volume 28 , Issue 3 , January 1987 , pp. 279 - 286
Copyright
Copyright © Australian Mathematical Society 1987

References

[1]Brebbia, C. A. (ed.), Boundary element methods in engineering, (Springer-Verlag, Heidelberg, 1982).CrossRefGoogle Scholar
[2]Bush, M. B. and Tanner, R. I., Inernat. J. Numer. Methods Fluids 3 (1983), 71.CrossRefGoogle Scholar
[3]Coleman, C. J., J. Non-Newtonian Fluid Mech. 6 (1982), 347.Google Scholar
[4]Coleman, C. J., Quart. J. Mech. Appl. Math. 34 (1981), 453.CrossRefGoogle Scholar
[5]Gladwell, I. and Wait, R. (eds.), A survey of numerical methods for partial differential equations, (Clarendon Press, Oxford, 1979).Google Scholar