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Singular equal equations

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Dow, Murray Leslie,1949- (1977) Singular equal equations. PhD thesis, University of Tasmania.

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Abstract

The classical analytic solution of the dominant singular
integral equation ... is found by transforming the equation into a Riemann boundary
problem. (The above integral is interpreted as a Cauchy principal
value.)
This analytic solution is not very useful for numerical
work, since it requires the evaluation of a Cauchy principal value
integral of a function Z, which has, in general, algebraic logarithmic
singularities at ±1.
Three alternative solutions are found which avoid this
problem. These solutions are used as the basis of an algorithm for
the numerical solution of the above singular integral equation.
Convergence of this algorithm is proved, and four examples are
given, including the H equation of Chandrasekhar.
An algorithm and a computer program is also given for the
solution of the complete singular integral equation ... Two examples are given, including the numerical solution
of a singular integral equation arising in neutron transport theory.

Item Type: Thesis (PhD)
Keywords: Integral equations
Copyright Holders: The Author
Copyright Information:

Copyright 1977 the Author - The University is continuing to endeavour to trace the copyright
owner(s) and in the meantime this item has been reproduced here in good faith. We
would be pleased to hear from the copyright owner(s).

Additional Information:

Thesis (Ph.D.)--University of Tasmania, 1977. Bibliography: l. 120-123

Date Deposited: 08 Dec 2014 23:53
Last Modified: 27 Jul 2016 00:56
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