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A numerical scheme for a class of nonlinear Fredholm integral equations of the second kind

✍ Scribed by Akbar H. Borzabadi; Omid S. Fard

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
526 KB
Volume
232
Category
Article
ISSN
0377-0427

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✦ Synopsis

In this paper an iterative approach for obtaining approximate solutions for a class of nonlinear Fredholm integral equations of the second kind is proposed. The approach contains two steps: at the first one, we define a discretized form of the integral equation and prove that by considering some conditions on the kernel of the integral equation, solution of the discretized form converges to the exact solution of the problem. Following that, in the next step, solution of the discretized form is approximated by an iterative approach. We finally on some examples show the efficiency of the proposed approach.

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