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A simple Taylor-series expansion method for a class of second kind integral equations

โœ Scribed by Yuhe Ren; Bo Zhang; Hong Qiao

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
148 KB
Volume
110
Category
Article
ISSN
0377-0427

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โœฆ Synopsis

A simple yet e ective Taylor-series expansion method is presented for a class of Fredholm integral equations of the second kind with smooth and weakly singular kernels. The equations studied in this paper arise in a number of applications, e.g., potential theory, radiative equilibrium, radiative heat transfer, and electrostatics. The approach leads to an approximate solution of the integral equation which can be expressed explicitly in a simple, closed form. The approximate solution is of su cient accuracy as illustrated by the numerical examples arising from radiative heat transfer and electrostatics.

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