A Taylor expansion approach for solving integral equations
作者:
R. P. Kanwal,
K. C. Liu,
期刊:
International Journal of Mathematical Education in Science and Technology
(Taylor Available online 1989)
卷期:
Volume 20,
issue 3
页码: 411-414
ISSN:0020-739X
年代: 1989
DOI:10.1080/0020739890200310
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
We present an algebraic technique for solving integral equations. This technique is based on first differentiating both sides of the integral equation n times and then substituting the Taylor series for the unknown function in the resulting equation. This results in a linear algebraic system which can be solved approximately by a suitable truncation scheme. An interesting feature of this method is that we get exact solutions in many cases. We present four simple examples to illustrate this feature.
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