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

Yuhe Ren; Bo Zhang; Hong Qiao

doi:10.1016/S0377-0427(99)00192-2

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

Yuhe Ren
, Bo Zhang
, Hong Qiao

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

99 Citations (Scopus)

Abstract

A simple yet effective 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 sufficient accuracy as illustrated by the numerical examples arising from radiative heat transfer and electrostatics. © 1999 Elsevier Science B.V.

Original language	English
Pages (from-to)	15-24
Journal	Journal of Computational and Applied Mathematics
Volume	110
Issue number	1
DOIs	https://doi.org/10.1016/S0377-0427(99)00192-2
Publication status	Published - 15 Oct 1999
Externally published	Yes

Bibliographical note

Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].

Research Keywords

Integral equations
Taylor-series

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title = "A simple Taylor-series expansion method for a class of second kind integral equations",

abstract = "A simple yet effective 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 sufficient accuracy as illustrated by the numerical examples arising from radiative heat transfer and electrostatics. {\textcopyright} 1999 Elsevier Science B.V.",

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T1 - A simple Taylor-series expansion method for a class of second kind integral equations

AU - Ren, Yuhe

AU - Zhang, Bo

AU - Qiao, Hong

N1 - Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].

PY - 1999/10/15

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N2 - A simple yet effective 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 sufficient accuracy as illustrated by the numerical examples arising from radiative heat transfer and electrostatics. © 1999 Elsevier Science B.V.

AB - A simple yet effective 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 sufficient accuracy as illustrated by the numerical examples arising from radiative heat transfer and electrostatics. © 1999 Elsevier Science B.V.

KW - Integral equations

KW - Taylor-series

UR - https://www.scopus.com/pages/publications/0033353533

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-0033353533&origin=recordpage

U2 - 10.1016/S0377-0427(99)00192-2

DO - 10.1016/S0377-0427(99)00192-2

M3 - RGC 21 - Publication in refereed journal

SN - 0377-0427

VL - 110

SP - 15

EP - 24

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

IS - 1

ER -

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

Abstract

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Research Keywords

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