Linearization method for solving nonlinear integral equations
2006 ◽
Vol 2006
◽
pp. 1-10
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Keyword(s):
The objective of this paper is to assess both the applicability and the accuracy of linearization method in several problems of general nonlinear integral equations. This method provides piecewise linear integral equations which can be easily integrated. It is shown that the accuracy of linearization method can be substantially improved by employing variable steps which adjust themselves to the solution. This approach can reveal that, under this method, the nonlinear integral equations can be transformed into the linear integral equations which may be integrated using classical methods. Numerical examples are used to illustrate the preciseness and effectiveness of the proposed method.
1997 ◽
Vol 11
(01n02)
◽
pp. 69-74
1969 ◽
Vol 26
(3)
◽
pp. 539-544
◽
1977 ◽
Vol 11
(4)
◽
pp. 729-740
◽
Keyword(s):
2005 ◽
Vol 160
(2)
◽
pp. 579-587
◽
Keyword(s):
2019 ◽
Vol 38
(4)
◽
1981 ◽
Vol 88
(3-4)
◽
pp. 345-356
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Keyword(s):