Approximate solution to Fredholm integral equations using linear regression and applications to heat and mass transfer
Y Ioannou, MM Fyrillas, C Doumanidis - Engineering Analysis with …, 2012 - Elsevier
In this work we develop improved asymptotic solutions to one-dimensional Fredholm
integral equations of the first kind using linear regression. For the cases under consideration
the unknown function is the flux distribution along a strip, and the integral equation depends
on a parameter or a number of parameters, ie the Péclet number, the Biot number, the
dimensionless length scales etc. It is assumed that asymptotic solutions, with respect to the
parameters, are available. We show that the asymptotic solutions can be improved and …
integral equations of the first kind using linear regression. For the cases under consideration
the unknown function is the flux distribution along a strip, and the integral equation depends
on a parameter or a number of parameters, ie the Péclet number, the Biot number, the
dimensionless length scales etc. It is assumed that asymptotic solutions, with respect to the
parameters, are available. We show that the asymptotic solutions can be improved and …
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