Summary
We examine specific asymptotic and numerical aspects of a mathematical model for determining the dryout point in an LMFBR. By considering a paradigm problem we show that regularisation is essential for the calculation of accurate numerical solutions.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Anderssen, R. S., de Hoog, F. R., Lukas, M. A. (eds.): The Application and Numerical Solution of Integral Equations. Sijthoff and Noordhoff, Alphen aan den Rijn (1980)
Golberg, M. A.: Solution Methods for Integral Equations: Theory and Applications. Plenum Press, London (1978)
King, A. C., Tuck, E. O.: Thin liquid layers supported by steady air-flow surface traction. J. Fluid Mech., 251, 709–718 (1993)
Krenk, S.: On quadrature formulas for singular integral equations of the first and second kind. Quart. Appl. Math., 33, 225–232 (1975)
Mphaka, M. J. S.: Partial singular integro-differential equation models for dryout in boilers. Ph.D. Thesis, University of Southampton, Southampton UK (2000)
Muskhelishvili, N. I.: Singular Integral Equations. Groningen, Noordhoff (1953)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2004 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Fitt, A.D., Mphaka, M.J.S. (2004). Asymptotic and Numerical Aspects of a Nonlinear Singular Integro-Differential Equation for Dryout in a LMFBR Boiler Tube. In: Buikis, A., ÄŒiegis, R., Fitt, A.D. (eds) Progress in Industrial Mathematics at ECMI 2002. The European Consortium for Mathematics in Industry, vol 5. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-09510-2_34
Download citation
DOI: https://doi.org/10.1007/978-3-662-09510-2_34
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-07262-8
Online ISBN: 978-3-662-09510-2
eBook Packages: Springer Book Archive